Find matrix X, if .

Engineering

Mathematics

Algebra of Matrices

Question

Find matrix X, if $[\begin{array}{ccc} 3 & 5 & - 9 \\ - 1 & 4 & - 7 \end{array}] + X = [\begin{array}{ccc} 6 & 2 & 3 \\ 4 & 8 & 6 \end{array}]$ .

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Given

$[\begin{array}{ccc} 3 & 5 & - 9 \\ - 1 & 4 & - 7 \end{array}] + X = [\begin{array}{ccc} 6 & 2 & 3 \\ 4 & 8 & 6 \end{array}]$

thus,

X = [\begin{array}{ccc} 6 & 2 & 3 \\ 4 & 8 & 6 \end{array}] - [\begin{array}{ccc} 3 & 5 & - 9 \\ - 1 & 4 & - 7 \end{array}]

X = [\begin{array}{ccc} 6 - 3 & 2 - 5 & 3 + 9 \\ 4 + 1 & 8 - 4 & 6 + 7 \end{array}]

X = [\begin{array}{ccc} 3 & - 3 & 12 \\ 5 & 4 & 13 \end{array}]