Given the matrices A*A* and B*B* shown below, find A, plus, B, .*A*+*B*.

A, equals, open square bracket,

begin matrix

row 1, column 1, minus, 1

row 1, column 2, 5

end matrix

, close square bracket, B, equals, open square bracket,

begin matrix

row 1, column 1, 2

row 1, column 2, minus, 2

end matrix

, close square bracket

*A*=[−1​5​]*B*=[2​−2​]

We are given two matrices:

\[
A = \begin{bmatrix} -1 & 5 \end{bmatrix}, \quad B = \begin{bmatrix} 2 & -2 \end{bmatrix}
\]

We are tasked with finding \( A + B \). 

To add matrices, we add their corresponding elements. So, we will perform:

\[
A + B = \begin{bmatrix} -1 & 5 \end{bmatrix} + \begin{bmatrix} 2 & -2 \end{bmatrix}
\]

Step by step, element-wise addition gives:

\[
A + B = \begin{bmatrix} -1 + 2 & 5 + (-2) \end{bmatrix} = \begin{bmatrix} 1 & 3 \end{bmatrix}
\]

Thus, the result is:

\[
A + B = \begin{bmatrix} 1 & 3 \end{bmatrix}
\]

Let me know if you'd like further clarification or details!

Here are 5 related questions:
1. How do you subtract two matrices?
2. What happens if you try to add matrices of different sizes?
3. Can you explain matrix multiplication and how it differs from matrix addition?
4. How do you compute the transpose of a matrix?
5. What are the conditions for two matrices to be conformable for multiplication?

**Tip**: Always make sure matrices are of the same dimensions before adding or subtracting them!

Given the matrices A = [-1 5] and B = [2 -2], find A + B.

Explore the process of adding two matrices, A = [-1 5] and B = [2 -2], using matrix addition rules. This guide includes a step-by-step breakdown suitable for students in Grades 9-12, covering key concepts in linear algebra.

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