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Identify the matrix m.

Mathematics

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Answer

−4m=[4−16−28−32]-4m = \begin{bmatrix} 4 & -16 \\ -28 & -32 \end{bmatrix}

Step-by-step solution

2 steps

Here's how to find −4m-4m:

  1. Identify the matrix mm.

    m=[−1478]m = \begin{bmatrix} -1 & 4 \\ 7 & 8 \end{bmatrix}
  2. Calculate −4m-4m by multiplying each element of matrix mm by −4-4.

    −4m=−4[−1478]-4m = -4 \begin{bmatrix} -1 & 4 \\ 7 & 8 \end{bmatrix} −4m=[−4×(−1)−4×4−4×7−4×8]-4m = \begin{bmatrix} -4 \times (-1) & -4 \times 4 \\ -4 \times 7 & -4 \times 8 \end{bmatrix} −4m=[4−16−28−32]-4m = \boxed{\begin{bmatrix} 4 & -16 \\ -28 & -32 \end{bmatrix}}
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