Question

let a= \\( \

$$\begin{bmatrix} -3 & 2 \\\\ 2 & 0 \\end{bmatrix}$$

\\) and b= \\( \

$$\begin{bmatrix} -2 & -3 \\\\ 5 & 3 \\end{bmatrix}$$

\\). find b - a, if possible. select the correct choice below and, if necessary, fill in the answer box to complete your choice. \\( \bigcirc \\) a. b - a= \\( \square \\) (type an integer or simplified fraction for each matrix element.) \\( \bigcirc \\) b. b - a is undefined.

Explanation:

Step1: Check matrix dimensions

Matrix \( A =

$$\begin{bmatrix} -3 & 2 \\ 2 & 0 \end{bmatrix}$$

\) and matrix \( B =

$$\begin{bmatrix} -2 & -3 \\ 5 & 3 \end{bmatrix}$$

\) both have 2 rows and 2 columns, so subtraction is possible.

Step2: Subtract corresponding elements

For the first row, first column: \( -2 - (-3) = -2 + 3 = 1 \)
First row, second column: \( -3 - 2 = -5 \)
Second row, first column: \( 5 - 2 = 3 \)
Second row, second column: \( 3 - 0 = 3 \)
So \( B - A =

$$\begin{bmatrix} 1 & -5 \\ 3 & 3 \end{bmatrix}$$

\)

Answer:

A. \( B - A =

$$\begin{bmatrix} 1 & -5 \\ 3 & 3 \end{bmatrix}$$

\)