Question

Add the following matrices. begin{bmatrix}-4,-4end{bmatrix},begin{bmatrix}5,-1end{bmatrix},begin{bmatrix}-3,1end{bmatrix}+begin{bmatrix}0,0end{bmatrix}begin{bmatrix}3,1end{bmatrix},begin{bmatrix}-4,1end{bmatrix}

Matrices
ANSWERED
asked 2021-02-06
Add the following matrices. \(\begin{bmatrix}-4,-4\end{bmatrix},\begin{bmatrix}5,-1\end{bmatrix},\begin{bmatrix}-3,1\end{bmatrix}+\begin{bmatrix}0,0\end{bmatrix}\begin{bmatrix}3,1\end{bmatrix},\begin{bmatrix}-4,1\end{bmatrix}\)

Answers (1)

2021-02-07
Step 1
Here we add the following matrices \(\begin{bmatrix}-4,-4\end{bmatrix},\begin{bmatrix}5,-1\end{bmatrix},\begin{bmatrix}-3,1\end{bmatrix}+\begin{bmatrix}0,0\end{bmatrix}\begin{bmatrix}3,1\end{bmatrix},\begin{bmatrix}-4,1\end{bmatrix}\)
Step 2
Let \(A=\begin{bmatrix}-4 & -4 \\5&- 1\\-3&1 \end{bmatrix} , B=\begin{bmatrix}0 & 0 \\3& 1\\-4&1 \end{bmatrix}\)
Now \(A+B=\begin{bmatrix}-4 & -4 \\5&- 1\\-3&1 \end{bmatrix}+\begin{bmatrix}0 & 0 \\3& 1\\-4&1 \end{bmatrix}\)
\(=\begin{bmatrix}-4+0 & -4+0 \\5+3&- 1+1\\-3+(-4)&1+1 \end{bmatrix}\)
\(=\begin{bmatrix}-4 & -4 \\8&0\\-7&2 \end{bmatrix}\)
Hence A+B=\(\begin{bmatrix}-4 & -4 \\8&0\\-7&2 \end{bmatrix}\)
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