Find a, b, c and d if

Question

KnowledgeBoat · Accepted Answer

Given, By definition of equality of matrices ⇒ 3a = 4 + a (...Eq 1) ⇒ 3b = a + b + 6 (...Eq 2) ⇒ 3c = c + d - 1 (...Eq 3) ⇒ 3d = 3 + 2d (...Eq 4) Solving Eq 1 we get, ⇒ 3a = 4 + a ⇒ 3a - a = 4 ⇒ 2a = 4 ⇒ a = 2. Solving Eq 2 by putting value of a from Eq 1 we get, ⇒ 3b = a + b + 6 ⇒ 3b = 2 + b + 6 ⇒ 3b = b + 8 ⇒ 3b - b = 8 ⇒ 2b = 8 ⇒ b = 4. Solving Eq 4 we get, ⇒ 3d = 3 + 2d ⇒ 3d - 2d = 3 ⇒ d = 3. Solving Eq 3 by putting value of d from Eq 4 we get, ⇒ 3c = c + d - 1 ⇒ 3c = c + 3 - 1 ⇒ 3c - c = 2 ⇒ 2c = 2 ⇒ c = 1. ∴ a = 2, b = 4, c = 1 and d = 3. Hence, the value of a = 2, b = 4, c = 1 and d = 3.

Mathematics

Find a, b, c and d if

Matrices

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