Matrix Multiplication Homework: Equations and Solutions"

Thread starter Tanishq Nandan
Start date Sep 5, 2017
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Matrix Matrix multiplication Multiplication

In summary, matrix multiplication is a mathematical operation used to transform data and solve systems of equations. To multiply matrices, the number of columns in the first matrix must match the number of rows in the second matrix. It is associative and distributive, but not commutative. To solve equations, you can represent them as a matrix equation and use inverse matrices. In real life, matrix multiplication has applications in image and signal processing, data compression, economics, biology, and machine learning.

Sep 5, 2017

Tanishq Nandan

Homework Statement

Homework Equations

Matrix multiplication.

The Attempt at a Solution

Answer given=4
What am I doing wrong??

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Sep 5, 2017

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Your work looks good to me.

Sep 5, 2017

mjc123

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I agree with your solution.

Sep 5, 2017

Tanishq Nandan

Thanks..must be a printing error

1. What is matrix multiplication?

Matrix multiplication is a mathematical operation that involves multiplying two matrices to produce a new matrix. It is used to transform data and solve systems of equations in various fields such as physics, engineering, and computer science.

2. How do you multiply matrices?

To multiply two matrices, the number of columns in the first matrix must match the number of rows in the second matrix. Then, for each element in the resulting matrix, you multiply the corresponding elements in the row of the first matrix and the column of the second matrix, and add up the products.

3. What are some properties of matrix multiplication?

Matrix multiplication is associative, meaning that when multiplying three matrices together, the order of multiplication does not matter. It is also distributive, meaning that you can distribute the multiplication over addition. However, it is not commutative, meaning that the order of multiplication does matter.

4. How do you solve equations using matrix multiplication?

To solve a system of equations using matrix multiplication, you can represent the equations as a matrix equation. Then, you can use inverse matrices to isolate the variable matrix and solve for the variables.

5. What are some real-life applications of matrix multiplication?

Matrix multiplication is used in image and signal processing, data compression, and computer graphics. It is also used in economics to analyze supply and demand, and in biology to model population growth. Additionally, it is used in machine learning algorithms and in solving systems of equations in engineering and physics problems.