Question

determine if each operation is possible. if yes, compute it.
a)
\

$$\begin{bmatrix}2 & 3\\\\4 & -1\\end{bmatrix}$$

+ \

$$\begin{bmatrix}5 & 0\\\\-2 & 3\\end{bmatrix}$$

=
\underline{qquad}
b)
\

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

• \

$$\begin{bmatrix}4 & 2\\end{bmatrix}$$

\
ightarrow possible?
\underline{qquad}

Explanation:

Part (a)

Step1: Check matrix dimensions

Both matrices are \( 2 \times 2 \), so addition is possible. To add matrices, add corresponding elements.

Step2: Add first row elements

For the first row: \( 2 + 5 = 7 \), \( 3 + 0 = 3 \)

Step3: Add second row elements

For the second row: \( 4 + (-2) = 2 \), \( -1 + 3 = 2 \)

To subtract matrices, they must have the same dimensions. The first matrix is \( 1 \times 3 \) (1 row, 3 columns) and the second is \( 1 \times 2 \) (1 row, 2 columns). Different dimensions, so subtraction is not possible.

Answer:

\[

$$\begin{bmatrix} 7 & 3 \\ 2 & 2 \end{bmatrix}$$

\]

Part (b)