Find the values of x, y, a and b if .

Question

KnowledgeBoat · Accepted Answer

Given, . By definition of equality of matrices, we get x - 2 = 3 or x = 5, y = 1, a + 2b = 5 [...Eq 1], 3a - b = 1 [...Eq 2]. From Eq 1 we get, ⇒ a + 2b = 5 ⇒ a = 5 - 2b Putting this value of a in Eq 2, ⇒ 3(5 - 2b) - b = 1 ⇒ 15 - 6b - b = 1 ⇒ 7b = 14 ⇒ b = 2. Using value of b to find value of a, ⇒ a = 5 - 2b ⇒ a = 5 - 2(2) ⇒ a = 5 - 4 ⇒ a = 1. ∴ x = 5, y = 1, a = 1 and b = 2. Hence, the values are: x = 5, y = 1, a = 1 and b = 2.

Mathematics

Find the values of x, y, a and b if .

Matrices

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