If A = find matrix C such that CA = B.

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KnowledgeBoat · Accepted Answer

Given, CA = B. By definition of equality of matrices we get, 2x - 4y = 0 (...Eq 1) -x + 5y = -3 or x = 5y + 3 (...Eq 2) Putting value of x from Eq 2 in Eq 1, ⇒ 2x - 4y = 0 ⇒ 2(5y + 3) - 4y = 0 ⇒ 10y + 6 - 4y = 0 ⇒ 6y + 6 = 0 ⇒ 6y = -6 ⇒ y = -1. Now finding value of x, ⇒ x = 5y + 3 = 5(-1) + 3 = -5 + 3 = -2. ∴ x = -2, y = -1. Hence, the matrix C = .

Mathematics

If A = find matrix C such that CA = B.

Matrices

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