Question
Matrices A and B are shown below.
A= -2 3 B= 5 -4
0 -1 -2 -4
A= -2 3 B= 5 -4
0 -1 -2 -4
Answers
GPT-4o mini
It looks like you have provided two matrices \( A \) and \( B \) as follows:
\[
A = \begin{pmatrix}
-2 & 3 \\
0 & -1
\end{pmatrix}
\]
\[
B = \begin{pmatrix}
5 & -4 \\
-2 & -4
\end{pmatrix}
\]
Would you like to perform specific operations with these matrices, such as addition, subtraction, multiplication, finding the determinant, or something else? Please let me know!
\[
A = \begin{pmatrix}
-2 & 3 \\
0 & -1
\end{pmatrix}
\]
\[
B = \begin{pmatrix}
5 & -4 \\
-2 & -4
\end{pmatrix}
\]
Would you like to perform specific operations with these matrices, such as addition, subtraction, multiplication, finding the determinant, or something else? Please let me know!
d
Which matrix represents the sum of A and B
GPT-4o mini
To find the sum of matrices \( A \) and \( B \), you simply add the corresponding elements of each matrix.
Given:
\[
A = \begin{pmatrix}
-2 & 3 \\
0 & -1
\end{pmatrix}
\]
\[
B = \begin{pmatrix}
5 & -4 \\
-2 & -4
\end{pmatrix}
\]
The sum \( C = A + B \) is computed as follows:
\[
C = \begin{pmatrix}
-2 + 5 & 3 + (-4) \\
0 + (-2) & -1 + (-4)
\end{pmatrix}
\]
Calculating each element:
- First row, first column: \(-2 + 5 = 3\)
- First row, second column: \(3 - 4 = -1\)
- Second row, first column: \(0 - 2 = -2\)
- Second row, second column: \(-1 - 4 = -5\)
Putting it all together, we get:
\[
C = \begin{pmatrix}
3 & -1 \\
-2 & -5
\end{pmatrix}
\]
So, the sum of matrices \( A \) and \( B \) is:
\[
\begin{pmatrix}
3 & -1 \\
-2 & -5
\end{pmatrix}
\]
Given:
\[
A = \begin{pmatrix}
-2 & 3 \\
0 & -1
\end{pmatrix}
\]
\[
B = \begin{pmatrix}
5 & -4 \\
-2 & -4
\end{pmatrix}
\]
The sum \( C = A + B \) is computed as follows:
\[
C = \begin{pmatrix}
-2 + 5 & 3 + (-4) \\
0 + (-2) & -1 + (-4)
\end{pmatrix}
\]
Calculating each element:
- First row, first column: \(-2 + 5 = 3\)
- First row, second column: \(3 - 4 = -1\)
- Second row, first column: \(0 - 2 = -2\)
- Second row, second column: \(-1 - 4 = -5\)
Putting it all together, we get:
\[
C = \begin{pmatrix}
3 & -1 \\
-2 & -5
\end{pmatrix}
\]
So, the sum of matrices \( A \) and \( B \) is:
\[
\begin{pmatrix}
3 & -1 \\
-2 & -5
\end{pmatrix}
\]