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Mathematics

If A = [5438]\begin{bmatrix} -5 & 4 \ 3 & -8 \end{bmatrix} and B = [2314]\begin{bmatrix} 2 & -3 \ -1 & 4 \end{bmatrix}, then (A – B) is:

  1. [77412]\begin{bmatrix} 7 & 7 \ -4 & 12 \end{bmatrix}

  2. [77412]\begin{bmatrix} -7 & 7 \ 4 & -12 \end{bmatrix}

  3. [77412]\begin{bmatrix} -7 & -7 \ 4 & 12 \end{bmatrix}

  4. [3124]\begin{bmatrix} 3 & 1 \ 2 & -4 \end{bmatrix}

Matrices

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Answer

Given,

A = [5438]\begin{bmatrix} -5 & 4 \ 3 & -8 \end{bmatrix} and B = [2314]\begin{bmatrix} 2 & -3 \ -1 & 4 \end{bmatrix}

Solving for A - B:

[524(3)3(1)84][77412].\Rightarrow \begin{bmatrix} -5 - 2 & 4 - (-3) \ 3 - (-1) & -8 - 4 \end{bmatrix} \\[1em] \Rightarrow \begin{bmatrix} -7 & 7 \ 4 & -12 \end{bmatrix}.

Hence, option 1 is the correct option.

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