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Question
Given
`"A" = [(2 , -6),(2, 0)] "B" = [(-3, 2),(4, 0)], "C" = [(4, 0),(0, 2)]`
Find the martix X such that A + 2X = 2B + C.
Solution
`"A" = [(2 , -6),(2, 0)] "B" = [(-3, 2),(4, 0)], "C" = [(4, 0),(0, 2)]`
A + 2x = 2B + C
`[(2, - 6),(2, 0)] + 2"X" = 2[(-3, 2),(4, 0)] + [(4, 0),(0, 2)]`
2X = `[(-6 , 4),(8 , 0)] + [(4, 0),(0, 2)] - [(2, -6),(2, 0)]`
2X = `[(-6 + 4 - 2 4 + 0 + 6),(8 + 0 - 2 0 + 2 - 0)] = [(-4 , 10),(6 , 2)]`
2X = `2[(-2, 5),(3, 1)] "X" = [(-2, 5),(3, 1)]`
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