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}

SchachtN 2021-03-09 Answered

Perform the indicated matrix operations:

[\begin{matrix} 5 & 4 \\ - 3 & 7 \\ 0 & 1 \end{matrix}] - [\begin{matrix} - 4 & 8 \\ 6 & 0 \\ - 5 & 3 \end{matrix}]

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Expert Answer

2k1enyvp

Answered 2021-03-10 Author has 94 answers

Step 1
According to he question,, we have to subtract the given two matrix

[\begin{matrix} 5 & 4 \\ - 3 & 7 \\ 0 & 1 \end{matrix}] - [\begin{matrix} - 4 & 8 \\ 6 & 0 \\ - 5 & 3 \end{matrix}]

.
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{matrix} 5 & 4 \\ - 3 & 7 \\ 0 & 1 \end{matrix}] - [\begin{matrix} - 4 & 8 \\ 6 & 0 \\ - 5 & 3 \end{matrix}]

Now subtract the corresponding elements,so,

[\begin{matrix} 5 & 4 \\ - 3 & 7 \\ 0 & 1 \end{matrix}] - [\begin{matrix} - 4 & 8 \\ 6 & 0 \\ - 5 & 3 \end{matrix}] = [\begin{matrix} 5 + 4 & 4 - 8 \\ - 3 - 6 & 7 - 0 \\ 0 + 5 & 1 - 3 \end{matrix}]

= [\begin{matrix} 9 & - 4 \\ - 9 & 7 \\ 5 & - 2 \end{matrix}]

Hence, the value of the matrices

[\begin{matrix} 5 & 4 \\ - 3 & 7 \\ 0 & 1 \end{matrix}] - [\begin{matrix} - 4 & 8 \\ 6 & 0 \\ - 5 & 3 \end{matrix}]

is

[\begin{matrix} 9 & - 4 \\ - 9 & 7 \\ 5 & - 2 \end{matrix}]

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Jeffrey Jordon

Answered 2022-01-24 Author has 2313 answers

Answer is given below (on video)

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