Given that A =[(3,0)(0,2)] , B =[(a,b)(0,c)]and AB = (A + B), find the values of a, b, and c.

Question

KnowledgeBoat · Accepted Answer

Solving AB: Solving A + B: Given, AB = A + B ∴ 3a = 3 + a ⇒ 3a - a = 3 ⇒ 2a = 3 ⇒ a = ∴ 3b = b ⇒ 3b - b = 0 ⇒ 2b = 0 ⇒ b = 0 ∴ 2c = 2 + c ⇒ 2c - c = 2 ⇒ c = 2. Hence, values of a = , b = 0 c = 2.

Mathematics

Given that A =[(3,0)(0,2)] , B =[(a,b)(0,c)]and AB = (A + B), find the values of a, b, and c.

Matrices

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