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Ex 2: Find the Eigenvalues and Corresponding Unit Eigenvectors of a 2x2 Matrix

Ex 2: Find the Eigenvalues and Corresponding Unit Eigenvectors of a 2x2 Matrix

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Ex 1: Find the Eigenvalues and Corresponding Eigenvectors of a 2x2 Matrix

Ex 1: Find the Eigenvalues and Corresponding Eigenvectors of a 2x2 Matrix

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Ex: Find the Eigenvalues of a 4x4 Matrix

Ex: Find the Eigenvalues of a 4x4 Matrix

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Ex: Find the Eigenvalues of a 3x3 Matrix

Ex: Find the Eigenvalues of a 3x3 Matrix

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Ex: Find the Eigenvalues of a 2x2 Matrix (Complex)

Ex: Find the Eigenvalues of a 2x2 Matrix (Complex)

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Ex: Find the Eigenvalues of a 2x2 Matrix

Ex: Find the Eigenvalues of a 2x2 Matrix

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Ex: Find a Value to Make 2x2 Matrix Singular (Eigenvalue Warm Up)

Ex: Find a Value to Make 2x2 Matrix Singular (Eigenvalue Warm Up)

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Ex: Direction and Speed of a Plane in the Wind Using Vectors

Ex: Direction and Speed of a Plane in the Wind Using Vectors

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Ex: Find the Coordinates of a Rotated Point Using Vectors

Ex: Find the Coordinates of a Rotated Point Using Vectors

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Ex: Find the Net Force of Three Vectors and the Opposite Force

Ex: Find the Net Force of Three Vectors and the Opposite Force

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Ex: Write a Vector as a Combination of Two Vectors

Ex: Write a Vector as a Combination of Two Vectors

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Ex: Find the Magnitude of The Difference of Two Vectors and The Difference of Two Magnitudes

Ex: Find the Magnitude of The Difference of Two Vectors and The Difference of Two Magnitudes

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Ex: Find the Difference of Scalar Multiples of Vectors in 2D

Ex: Find the Difference of Scalar Multiples of Vectors in 2D

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Ex 5: Fine a Vector in Component Form Given an Angle and the Magnitude (180)

Ex 5: Fine a Vector in Component Form Given an Angle and the Magnitude (180)

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Ex 4: Fine a Vector in Component Form Given an Angle and the Magnitude (90)

Ex 4: Fine a Vector in Component Form Given an Angle and the Magnitude (90)

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Ex 3: Fine a Vector in Component Form Given an Angle and the Magnitude (60)

Ex 3: Fine a Vector in Component Form Given an Angle and the Magnitude (60)

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Ex 2: Fine a Vector in Component Form Given an Angle and the Magnitude (45)

Ex 2: Fine a Vector in Component Form Given an Angle and the Magnitude (45)

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Ex 1: Fine a Vector in Component Form Given an Angle and the Magnitude (30)

Ex 1: Fine a Vector in Component Form Given an Angle and the Magnitude (30)

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Ex: Dot Product of Vectors From a Graph - 2D

Ex: Dot Product of Vectors From a Graph - 2D

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Ex: Dot Product of Vectors - 2D

Ex: Dot Product of Vectors - 2D

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Ex: Determine if Vectors are Linearly Independent or Linearly Dependent (Independent)

Ex: Determine if Vectors are Linearly Independent or Linearly Dependent (Independent)

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Ex: Determine if Vectors are Linearly Independent or Linearly Dependent (Dependent)

Ex: Determine if Vectors are Linearly Independent or Linearly Dependent (Dependent)

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Ex: Find the Difference of Scalar Multiples of Vectors in 2D

Ex: Find the Difference of Scalar Multiples of Vectors in 2D

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Ex: Find the Difference of Two Vector Given in Linear Combination Form

Ex: Find the Difference of Two Vector Given in Linear Combination Form

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Ex: Find the Sum of Two Vectors Given in Linear Combination Form

Ex: Find the Sum of Two Vectors Given in Linear Combination Form

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Ex: Find the Difference of Two Vectors in Component Form

Ex: Find the Difference of Two Vectors in Component Form

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Find the Component Form of a Vector Given Magnitude and Direction

Find the Component Form of a Vector Given Magnitude and Direction

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Ex: Find the Direction and Magnitude of a Vector in Component Form

Ex: Find the Direction and Magnitude of a Vector in Component Form

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Find the Component Form of a Vector from the Graph of a Vector

Find the Component Form of a Vector from the Graph of a Vector

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Ex: Find the Unit Vector Given the Graph of a Vector in 2D

Ex: Find the Unit Vector Given the Graph of a Vector in 2D

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Ex: 2D Vector Scalar Multiplication

Ex: 2D Vector Scalar Multiplication

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Ex: Find the Sum of Two Vectors From a Graph (2 Dimensions)

Ex: Find the Sum of Two Vectors From a Graph (2 Dimensions)

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Unit Vector

Unit Vector

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Vector Operations

Vector Operations

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Introduction to Vectors

Introduction to Vectors

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Ex: Determine a Value in a 3x3 Matrix To Make the Matrix Singular

Ex: Determine a Value in a 3x3 Matrix To Make the Matrix Singular

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Ex: Determine a Value in a 2x2 Matrix To Make the Matrix Singular

Ex: Determine a Value in a 2x2 Matrix To Make the Matrix Singular

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Ex: Determine if a 3x3 Matrix is Invertible (nonsingular) Using a Determinant

Ex: Determine if a 3x3 Matrix is Invertible (nonsingular) Using a Determinant

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Ex: Determine if a 2x2 Matrix is Invertible (nonsingular) Using a Determinant

Ex: Determine if a 2x2 Matrix is Invertible (nonsingular) Using a Determinant

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Ex: Find the Area of a Triangle on the Coordinate Plane Using a Determinant

Ex: Find the Area of a Triangle on the Coordinate Plane Using a Determinant

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Area Using Determinants

Area Using Determinants

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Ex: Solve a System of Three Equations Using Cramer's Rule

Ex: Solve a System of Three Equations Using Cramer's Rule

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Ex: Solve a System of Two Equations Using Cramer's Rule

Ex: Solve a System of Two Equations Using Cramer's Rule

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Cramer’s Rule

Cramer’s Rule

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Determinants on the Graphing Calculator

Determinants on the Graphing Calculator

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Ex: Find the Value of a 4x4 Determinant Using Cofactor Expansion (with Zeros)

Ex: Find the Value of a 4x4 Determinant Using Cofactor Expansion (with Zeros)

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Ex: Find a 3x3 Determinant using Cofactor Expansion on Row 3

Ex: Find a 3x3 Determinant using Cofactor Expansion on Row 3

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Ex: Find a 3x3 Determinant using Cofactor Expansion on Row 2

Ex: Find a 3x3 Determinant using Cofactor Expansion on Row 2

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Ex 2: Determinant of 3x3 Matrix - Cofactor Method

Ex 2: Determinant of 3x3 Matrix - Cofactor Method

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Ex 1: Determinant of 3x3 Matrix - Cofactor Method

Ex 1: Determinant of 3x3 Matrix - Cofactor Method

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Ex 2: Determinant of 3x3 Matrix - Diagonal Method

Ex 2: Determinant of 3x3 Matrix - Diagonal Method

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Ex 1: Determinant of 3x3 Matrix - Diagonal Method

Ex 1: Determinant of 3x3 Matrix - Diagonal Method

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Ex: Solve an Equation Involving a Determinant

Ex: Solve an Equation Involving a Determinant

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Ex: Determinant of a 2x2 Matrix

Ex: Determinant of a 2x2 Matrix

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Determinants

Determinants

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Perform Linear Regression Using Matrices

Perform Linear Regression Using Matrices

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Solve a System of Linear Equations Using LU Decomposition

Solve a System of Linear Equations Using LU Decomposition

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LU Decomposition - Shortcut

LU Decomposition - Shortcut

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LU Decomposition Using Elementary Matrices

LU Decomposition Using Elementary Matrices

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Ex: Solve a System of Three Equations Using a Matrix Equation

Ex: Solve a System of Three Equations Using a Matrix Equation

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Ex 2: Solve a System of Two Equations Using a Matrix Equation

Ex 2: Solve a System of Two Equations Using a Matrix Equation

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Ex 1: Solve a System of Two Equations Using a Matrix Equation

Ex 1: Solve a System of Two Equations Using a Matrix Equation

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Matrix Equations

Matrix Equations

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Ex: Solve the Matrix Equation AX=B (3x3)

Ex: Solve the Matrix Equation AX=B (3x3)

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Ex 2: Solve the Matrix Equation AX=B (2x2)

Ex 2: Solve the Matrix Equation AX=B (2x2)

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Ex 1: Solve the Matrix Equation AX=B (2x2)

Ex 1: Solve the Matrix Equation AX=B (2x2)

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Inverse Matrices on the Graphing Calculator

Inverse Matrices on the Graphing Calculator

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Ex 2: Inverse of a 3x3 Matrix Using an Augmented Matrix

Ex 2: Inverse of a 3x3 Matrix Using an Augmented Matrix

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Ex 1: Inverse of a 3x3 Matrix Using an Augmented Matrix

Ex 1: Inverse of a 3x3 Matrix Using an Augmented Matrix

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Ex: Inverse of a 2x2 Matrix Using an Augmented Matrix

Ex: Inverse of a 2x2 Matrix Using an Augmented Matrix

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Ex: Find the Inverse of a 2x2 Matrix Using a Formula

Ex: Find the Inverse of a 2x2 Matrix Using a Formula

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Inverse Matrices Using Augmented Matrices

Inverse Matrices Using Augmented Matrices

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2 x 2 Inverse Matrix Formula

2 x 2 Inverse Matrix Formula

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LU Decomposition - Shortcut

LU Decomposition - Shortcut

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LU Decomposition Using Elementary Matrices

LU Decomposition Using Elementary Matrices

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Elementary Matrices

Elementary Matrices

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The Identity Matrix

The Identity Matrix

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Ex: Inverse of a 2x2 Matrix Using an Augmented Matrix

Ex: Inverse of a 2x2 Matrix Using an Augmented Matrix

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Ex: Find the Inverse of a 2x2 Matrix Using a Formula

Ex: Find the Inverse of a 2x2 Matrix Using a Formula

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Inverse Matrices Using Augmented Matrices

Inverse Matrices Using Augmented Matrices

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2 x 2 Inverse Matrix Formula

2 x 2 Inverse Matrix Formula

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LU Decomposition - Shortcut

LU Decomposition - Shortcut

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LU Decomposition Using Elementary Matrices

LU Decomposition Using Elementary Matrices

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Elementary Matrices

Elementary Matrices

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The Identity Matrix

The Identity Matrix

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Animation: Matrix Multiplication

Animation: Matrix Multiplication

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Ex Applicaton of Matrix Multiplication - Transformation

Ex Applicaton of Matrix Multiplication - Transformation

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Ex 3: Matrix Multiplication (3x2)*(2x3)

Ex 3: Matrix Multiplication (3x2)*(2x3)

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Ex 2: Matrix Multiplication (2x3)*(3x2)

Ex 2: Matrix Multiplication (2x3)*(3x2)

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Ex 1: Matrix Multiplication (Basic)

Ex 1: Matrix Multiplication (Basic)

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Matrix Multiplication on the Graphing Calculator

Matrix Multiplication on the Graphing Calculator

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Ex: Square a 2x2 Matrix

Ex: Square a 2x2 Matrix

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Ex: Matrix Multiplication (2x3)*(3x4)

Ex: Matrix Multiplication (2x3)*(3x4)

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Ex: Matrix Multiplication (2x2)*(2x2)

Ex: Matrix Multiplication (2x2)*(2x2)

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Ex: Solve a Basic Matrix Equation (No Inverse)

Ex: Solve a Basic Matrix Equation (No Inverse)

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Ex: Determine if Matrix Multiplication is Possible

Ex: Determine if Matrix Multiplication is Possible

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Matrix Multiplication

Matrix Multiplication

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Ex: Matrix Scalar Multiplication Application - Dilation

Ex: Matrix Scalar Multiplication Application - Dilation

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Ex: Use Matrices to Dilate and Translate a Triangle

Ex: Use Matrices to Dilate and Translate a Triangle

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Ex 2: Matrix Application: Translation / Dilation

Ex 2: Matrix Application: Translation / Dilation

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