Evaluate the given expression. Take
A =

0	−2

−2	0
1	1
and   B =

−0.25	3

0	−0.25
−2	−1
.
A + B

We are given two matrices \( A \) and \( B \):

\[
A = \begin{pmatrix}
0 & -2 \\
-2 & 0 \\
1 & 1
\end{pmatrix}, \quad
B = \begin{pmatrix}
-0.25 & 3 \\
0 & -0.25 \\
-2 & -1
\end{pmatrix}.
\]

To compute \( A + B \), we add the corresponding elements of the two matrices.

\[
A + B = \begin{pmatrix}
0 + (-0.25) & -2 + 3 \\
-2 + 0 & 0 + (-0.25) \\
1 + (-2) & 1 + (-1)
\end{pmatrix}
\]

This simplifies to:

\[
A + B = \begin{pmatrix}
-0.25 & 1 \\
-2 & -0.25 \\
-1 & 0
\end{pmatrix}
\]

Thus, the sum \( A + B \) is:

\[
A + B = \begin{pmatrix}
-0.25 & 1 \\
-2 & -0.25 \\
-1 & 0
\end{pmatrix}.
\]

Would you like further details or have any questions?

Here are some related questions:
1. How do you subtract two matrices?
2. What is the transpose of a matrix?
3. How do you find the determinant of a matrix?
4. How do matrix multiplication rules differ from addition?
5. What is the inverse of a matrix?

**Tip:** Matrix addition is only defined for matrices of the same dimensions; ensure that both matrices have matching sizes before adding.

Evaluate the given expression. Take A =

0	−2

−2	0
1	1
and   B =

−0.25	3

0	−0.25
−2	−1
.
A + B

Learn how to perform matrix addition with matrices A and B. This problem involves adding corresponding elements of two matrices. Suitable for students in Grades 9-12, covering key concepts in Matrix Algebra.

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