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If P = [(2 6), (3 9)] and Q = [(3 x), (y 2)]; find x and y such that PQ = null matrix.

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If P = [(2  6), (3  9)] and Q = [(3  x), (y  2)]; find x and y such that PQ = null matrix.

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Comparing the corresponding elements, we get,

2x + 12 = 0

Therefore x = − 6

6 + 6y = 0

Therefore y = − 1

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