What is the result of multiplying the matrix ( A = begin{bmatrix} 5 & 6 7 & 8 end{bmatrix} ) by the scalar ( k = 4 )?

Question

What is the result of multiplying the matrix ( A = begin{bmatrix} 5 & 6  7 & 8 end{bmatrix} ) by the scalar ( k = 4 )?

Accepted Answer

Step:1 ：To multiply a matrix by a scalar, we simply multiply each element of the matrix by the scalar. In this case, we multiply each element of matrix ( A ) by ( k = 4 ).Step:2 ：So, ( 4A = 4 times begin{bmatrix} 5 & 6  7 & 8 end{bmatrix} = begin{bmatrix} 4 times 5 & 4 times 6  4 times 7 & 4 times 8 end{bmatrix} )Step:3 ：Simplify to get the final result matrix.

Answer

Step: 1 ：To multiply a matrix by a scalar, we simply multiply each element of the matrix by the scalar. In this case, we multiply each element of matrix ( A ) by ( k = 4 ).Step: 2 ：So, ( 4A = 4 times begin{bmatrix} 5 & 6  7 & 8 end{bmatrix} = begin{bmatrix} 4 times 5 & 4 times 6  4 times 7 & 4 times 8 end{bmatrix} )Step: 3 ：Simplify to get the final result matrix.

What is the result of multiplying the matrix \( A = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} \) by the scalar \( k = 4 \)?

Answer

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