Linear and Abstract Algebra Forum

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Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
High School Higher Dimensional Vectors
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High School The Relationship Between Function and Ordering Relation
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High School Subspaces of Functions- definition
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High School What unique contributions to math did linear algebra make?
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High School Understanding Bases of a Vector Space
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High School Confused about dot product multiplication
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High School Parametric Representation of Lines
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High School How to multiply matrix with row vector?
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High School Question on basic linear algebra (new to the subject)
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High School Can the Diagram in the Article Be Interpreted as Commutative?
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High School Elementary column operations and change-of-basis
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High School Solving for the Nth divergence in any coordinate system
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High School Row reduction, Gaussian Elimination on augmented matrix
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High School Transformation Rules For A General Tensor M
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High School Question about orthogonal vectors and the cosine
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High School Array Representation Of A General Tensor Question
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High School Beginner Einstein Notation Question On Summation In Regards To Index
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High School Elegant way to prove ##AB^{n}## commute
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High School Turn one vector into another vector
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High School Does this kind of square matrix exist?
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High School Inductive proof for multiplicative property of sdet
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High School Inverse of a Vector: Find the Correct Form
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High School Is Super Commutativity Essential in Defining a Super Lie Module?
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High School Recurrence relation in a recurrence relation?
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High School One-to-many relations in group theory
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High School Determinant of a transposed matrix
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High School Proof involving two linear equations
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High School Is it invalid to redefine the sgn function in this way in a proof?
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High School Proving the uniqueness of eigenspaces
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High School Any square matrix can be expressed as the sum of anti/symmetric matrices
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High School Regarding Contravarient Vector Transformations
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High School Commutators of functions of operators
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High School Magnitudes of the sum of two vectors
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High School Explicit expression for ideal membership
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High School What is the cross product of two vectors?
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High School Orthogonal Projections: Same Thing or Not?
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High School Graph of ax+by=c: How a,b,c Affects Graph
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High School A problem involving direction cosines (Vector Algebra)
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High School What is the identity element in the group {2,4,6,8} under multiplication mod 10?
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High School Simple question about the dual space
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High School How Is the Gradient Covariant in Different Coordinate Systems?
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High School What are matrix transformations?
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High School Rotating a point in 3-space through an angle about some vector
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High School Understanding Dual Space: Mapping Vector Space to Real Numbers
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High School What Does Skew Symmetry Imply for One-Dimensional Systems?
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High School Need an Equation for converting Vertical to horizontal FOV
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High School I am 47 years old and I trying to learn Mathematics
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High School Matrix Exponential: Researching Origins & Applications
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High School Size of a Vector: Inner Product & Magnitude
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High School Solving a Linear Programming Problem which Requires Integer Solutions
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High School Isn't the concept of a basis circular?
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High School What are the properties of a quasigroup table?
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High School Why Are Determinants Considered Outdated in Modern Linear Algebra?
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High School Finding Bases for Row and Column Spaces
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High School Composition of elements of SO(4)
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High School How do I improve my proof writing style?
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High School Can a matrix be transformed like a vector?
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High School How does matrix non-commutivity relate to eigenvectors?
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High School Build an affine/vector space for physics
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High School How Can You Determine if an Operator is Surjective, Injective, or Bijective?
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High School Can Linear Combinations in Quantum Mechanics Include Multiplication of States?
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High School Why do equations with two distinct variables with 2 distinct
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High School Tensor Product, Basis Vectors and Tensor Components
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High School Linearizing a Relation: How to Create a Best Fit Linear Line in Logger Pro
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High School Why does a matrix diagonalise in this case?
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High School Define Vector on x-Axis: -d/2 to d/2
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High School Vector Proof: Solving for IuI and IvI using Dot Product Properties
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High School Generalized Linear equation of a cube
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High School How Do Rotation Matrices Impact Coordinate Systems and Object Transformations?
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High School Galois Groups .... A&F Example 47.7 .... ....
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High School Associativity of Matrix multiplication
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High School Why does every subfield of Complex number have a copy of Q?
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High School Vector Space over Field of Real Numbers
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High School ##AB = I \implies BA = I##, for square matricies ##A,B##
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High School What Does 'Simultaneous' Mean in Linear Equations?
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High School Is AB Invertible If n < m and B has a Non-Trivial Kernel?
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High School Understanding Invertible Matrices and Homogenous Systems
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High School What do "linear" and "abstract" stand for?
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High School Proof of elementary row matrix operation.
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High School Singular Matrices: Transpose & Its Impact
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High School Why Didn't the Eigenvector Approach Work for This Matrix?
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High School Complex Number Solutions for |z+1| = |z+i| and |z| = 5
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High School Find the Minimum Value of Expression Involving Positive Real Numbers
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High School Group of Symmetry of Rectangle: Reflections & Diagonals
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High School Is identity matrix basis dependent?
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High School Understanding the Dagger Notation in Quantum Mechanics
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High School How do we obtain a Taylor expansion of a non-linear functional?
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High School Matrix A^(m+1) is different from A^(1+m)?
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High School Tensor Calculus vs Tensor Analysis?
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High School Polynomial Space: Can Degree 2 Fit in 1+x^2?
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High School Understanding Choi's Theorem and Notation in Matrix Theory
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High School Mistake when explaining associativity of vector addition
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High School Sets and functions that gain more structure with context
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High School Does the L2 norm of a vector destroy all directional info?
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High School Trying to understand function transformations
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High School Is the Null Space of an Operator Defined by Its Zero Eigenvalue?
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High School What Does Dimension Mean in Vector Spaces?
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High School Vector Space Prob: Show Linear Dependence
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