Question

# Perform the indicated matrix operations: begin{bmatrix}5 & 4 -3 & 7 0 & 1 end{bmatrix}-begin{bmatrix}-4 & 8 6 & 0 -5 & 3 end{bmatrix}

Matrices
Perform the indicated matrix operations:
$$\begin{bmatrix}5 & 4 \\-3 & 7 \\ 0 & 1 \end{bmatrix}-\begin{bmatrix}-4 & 8 \\6 & 0 \\ -5 & 3 \end{bmatrix}$$

2021-03-10
Step 1
According to he question,, we have to subtract the given two matrix $$\begin{bmatrix}5 & 4 \\-3 & 7 \\ 0 & 1 \end{bmatrix}-\begin{bmatrix}-4 & 8 \\6 & 0 \\ -5 & 3 \end{bmatrix}$$ .
Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
We can perform the operations like addition or subtraction with the corresponding elements and solve accordingly.
Step 2
Rewrite the given matrices,
$$\begin{bmatrix}5 & 4 \\-3 & 7 \\ 0 & 1 \end{bmatrix}-\begin{bmatrix}-4 & 8 \\6 & 0 \\ -5 & 3 \end{bmatrix}$$
Now subtract the corresponding elements,so,
$$\begin{bmatrix}5 & 4 \\-3 & 7 \\ 0 & 1 \end{bmatrix}-\begin{bmatrix}-4 & 8 \\6 & 0 \\ -5 & 3 \end{bmatrix}=\begin{bmatrix}5+4 & 4-8 \\-3-6 & 7-0 \\ 0+5 & 1-3 \end{bmatrix}$$
$$=\begin{bmatrix}9 & -4 \\-9 & 7 \\ 5 & -2 \end{bmatrix}$$
Hence, the value of the matrices $$\begin{bmatrix}5 & 4 \\-3 & 7 \\ 0 & 1 \end{bmatrix}-\begin{bmatrix}-4 & 8 \\6 & 0 \\ -5 & 3 \end{bmatrix}$$ is $$\begin{bmatrix}9 & -4 \\-9 & 7 \\ 5 & -2 \end{bmatrix}$$