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Question
If `P = [(2,6),(3,9)]` and `Q = [(3,x),(y, 2)]` find x and y such that PQ = null matrix
Solution
`PQ = `[(2,6),(3, 9)][(3,x),(y, 2)] = [(6 + 6y , 2x + 12),(9 + 9y, 3x + 18)]`
PQ = Null matrix
∴ [(6 + 6y,2x + 12),(9 + 9y, 3x + 18)] = [(0,0),(0,0)]`
Comparing the corresponding elements we get
2x + 12 = 0
Therefore x = -6
6 + 6y = 0
Therefore y = -1
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