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

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Given, AC = B By definition of equality of matrices we get, ⇒ 2x - y = -3 or y = 2x + 3 (...Eq 1) ⇒ -4x + 5y = 2 (...Eq 2) Putting value of y from Eq 1 in Eq 2, ⇒ -4x + 5y = 2 ⇒ -4x + 5(2x + 3) = 2 ⇒ -4x + 10x + 15 = 2 ⇒ 6x = 2 - 15 ⇒ 6x = -13 ⇒ x = Now finding value of y, ∴ x = Since, Hence, the matrix C =

Mathematics

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

Matrices

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