Operations With Matrices

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Directions:

Do question 2 and set up question 1 for me.



IMG_20220612_185956.jpg
 
To multiply a matrix by a number, multiply each entry in the matrix by that number:
[math]a\begin{bmatrix}p & q \\ r & s \end{bmatrix}= \begin{bmatrix}ap & aq \\ ar & as \end{bmatrix}[/math].

To add two matrices, add the corresponding entries:
[math]\begin{bmatrix} a & b \\ c & d \end{bmatri}+ \begin{bmatrix} p &
 
Directions:

Do question 2 and set up question 1 for me.

Given the following matrices:

\(\qquad A = \begin{bmatrix} 6&-1\\2&4\\-3&5 \end{bmatrix}\)

\(\qquad A = \begin{bmatrix} 1&4\\-1&5\\1&10 \end{bmatrix}\)

Find (1) \(2A\) and (2) \(B + \frac{1}{2}A\)

(1) Follow the definition of scalar multiplication: multiply every element of matrix A by 2.

(2) Follow the definition of scalar multiplication: multiply every element of matrix A by 1/2. Then follow the definition of matrix addition: add corresponding elements of B and (1/2)A.
 

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