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Question
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find 2At – 3A
Sum
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Solution
A = `[(-3, 6),(0, -9)]`
At = `[(-3, 0),(6, -9)]`
2At – 3A = `2[(-3, 0),(6, -9)] - 3[(-3, 6),(0, -9)]`
= `[(-6, 0),(12, -18)] - [(-9, 18),(0, -27)]`
= `[(-6 - (-9), 0 - 18),(12 - 0, -18 - (-27))]`
= `[(-6 + 9, -18),(12, -18 + 27)]`
= `[(3, -18),(12, 9)]`
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