Questions: Given the matrices A=[5 -1; 3 4; -3 2] and B=[-3 0; 0 4; 2 -3] A. It is Select an answer (0) to add these matrices. B. If addition is possible what is A+B [ ; ; ]

Given the matrices A=[5 -1; 3 4; -3 2] and B=[-3 0; 0 4; 2 -3]
A. It is Select an answer (0) to add these matrices.
B. If addition is possible what is A+B
[    ;    ;    ]
Transcript text: Given the matrices $A=\left[\begin{array}{cc}5 & -1 \\ 3 & 4 \\ -3 & 2\end{array}\right]$ and $B=\left[\begin{array}{cc}-3 & 0 \\ 0 & 4 \\ 2 & -3\end{array}\right]$ A. It is Select an answer (0) to add these matrices. B. If addition is possible what is $A+B$ $\left[\begin{array}{cc}\square & \square \\ \square & \square \\ \square & \square\end{array}\right]$
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Solution

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Solution Steps

Step 1: Perform Addition

Given two matrices $A$ and $B$ of dimensions $3 \times 2$, the addition is performed element-wise.

Calculation

For element $C_{11}$: $A_{11} + B_{11} = 5 - 3 = 2$ For element $C_{12}$: $A_{12} + B_{12} = -1 = -1$ For element $C_{21}$: $A_{21} + B_{21} = 3 = 3$ For element $C_{22}$: $A_{22} + B_{22} = 4 + 4 = 8$ For element $C_{31}$: $A_{31} + B_{31} = -3 + 2 = -1$ For element $C_{32}$: $A_{32} + B_{32} = 2 - 3 = -1$

Final Answer:

[2, -1] [3, 8] [-1, -1]

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