If P = find x, y such that PQ = O.

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KnowledgeBoat · Accepted Answer

Given, PQ = 0 By definition of equality of matrices we get, ⇒ 6 + 6y = 0 and 2x + 12 = 0 ⇒ 6y = -6 and 2x = -12 ⇒ y = -1 and x = -6. Checking whether x = -6 and y = -1, satisfies other equations 9 + 9y = 0 and 3x + 18 = 0, ⇒ 9 + 9y = 0 ⇒ 9 + 9(-1) = 0 ⇒ 9 - 9 = 0 (L.H.S. = R.H.S.) ⇒ 3x + 18 = 0 ⇒ 3(-6) + 18 = 0 ⇒ -18 + 18 = 0 (L.H.S. = R.H.S.) ∴ x = -6 and y = -1. Hence, the value of x = -6 and y = -1.

Mathematics

If P = find x, y such that PQ = O.

Matrices

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