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Question
Solve the matrix equation : `[(4),(1)],"X" = [(-4, 8),(-1, 2)]`
Solution
`[(4),(1)],"X" = [(-4, 8),(-1, 2)]`
Let matrix X = [x y]
∴ `[(4)/(1)][x, y] = [(-4, 8),(-1, 2)]`
⇒ `[(4x, 4y),(x, y)] = [(-4, 8),(-1, 2)]`
Comparing the corresponding elements
4x = –4 ⇒ x = –1
4y = 8 ⇒ y = 2
∴ X = [–1 2].
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