Let A be a matrix such that [(5,-2)(1,3)]× A =[(4)(11)](i) Write the order of

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(i) Let B = Then, BA = Order of B = 2 × 2 Order of BA = 2 × 1 Since BA exists, we have: Number of rows of A = Number of columns in B = 2 Number of columns of A = Number of columns in BA = 1 Order of A is 2 × 1. Hence, order of A is 2 × 1. (ii) Let A = . Then, Solving for x and y: ∴ 5x - 2y = 4... (1) ∴ x + 3y = 11 ⇒ x = 11 - 3y....(2) Substituting value of d from equation (2) in 5x - 2y = 4, we get: ⇒ 5(11 - 3y) - 2y = 4 ⇒ 55 - 15y - 2y = 4 ⇒ 55 - 17y = 4 ⇒ 17y = 55 - 4 ⇒ 17y = 51 ⇒ y = ⇒ y = 3 Substituting value of y in equation (2), we get: ⇒ x = 11 - 3(3) ⇒ x = 11 - 9 ⇒ x = 2 Hence, A =

Mathematics

Let A be a matrix such that [(5,-2)(1,3)]× A =[(4)(11)](i) Write the order of

Matrices

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