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Question
Find X and Y if X + Y = `[(7, 0),(3, 5)]` and X – Y = `[(3, 0),(0, 4)]`
Solution
(1) + (2) ⇒ 2X = `[(10, 0),(3, 9)]`
⇒ X = `1/2[(10, 0),(3, 9)]`
X = `[(5, 0),(3/2, 9/2)]`
(1) – (2) ⇒ 2Y = `[(7, 0),(3, 5)] - [(3, 0),(0, 4)]`
= `[(4, 0),(3, 1)]`
⇒ Y = `1/2[(4, 0),(3, 1)]`
Y = `[(2, 0),(3/2, 1/2)]`
X = `[(5, 0),(3/2, 9/2)]` and Y = `[(2, 0),(3/2, 1/2)]`
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