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in Matrices by (30.3k points)
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If A = \( \begin{bmatrix} 1 & -5 \\[0.3em] -3 & 2 \\[0.3em] 4 & -2 \end{bmatrix}\)and B = \( \begin{bmatrix} 3 & 1 \\[0.3em] 2 &-1 \\[0.3em] -2 & 3 \end{bmatrix},\) find the matrix C such that A + B + C is a zero matrix

A = [(1,-5)(-3,2)(4,-2)]

B = [(3,1)(2,-1)(-2,3)]

1 Answer

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Best answer

Given, A + B + C = zero matrix

We know that zero matrix is a matrix whose all elements are zero, so we have,

WE have A + B + C = 0,

So C = -A + B,

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