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Question
Find matrices X and Y, if
X + Y = `[(5, 2),(0, 9)]` and X - Y = `[(3 , 6),(0, -1)]`
Solution
We have
X + Y = `[(5 , 2),(0 , 9)]`
and X - Y = `[(3 , 6),(0 , -1)]`
Now (X + Y) + (X - Y) = `[(5 , 2),(0 , 9)][(3 , 6),(0 , -1)]`
2X = `[(8 , 8),(0, 8)]`
X = `(1)/(2)[(8 , 8),(0, 8)] = [(4 , 4),(0 , 4)]`
Also (X + Y) - (X - Y) = `[(5 , 2),(0 , 9)] + [(-3 , -6),(0 , 1)]`
⇒ 2Y = `[(2 , -4),(0 , 10)]`
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