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Question
Find X if Y = `[(3, 2),(1, 4)]` and 2X + Y = `[(1, 0),(-3, 2)]`
Solution
Given
2X + Y = `[(1, 0),(-3, 2)]`
⇒ 2X = 2X + Y = `[(1, 0),(-3, 2)] - "Y"`
⇒ 2X = `[(1, 0),(-3, 2)] - [(3, 2),(1, 4)]`
= `[(1 - 3, 0 - 2),(-3 - 1, 2 - 4)]`
= `[(-2, -2),(-4, - 2)]`
X = `(1)/(2)[(-2, -2),(-4, -2)]`
= `[(-1, -1),(-2, -1)]`.
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