Given, ; find the matrix X such that AX = B.

Question

KnowledgeBoat · Accepted Answer

Let order of matrix X = m × n Given, AX = B Since, the product of matrices is possible, only when the number of columns in the first matrix is equal to the number of rows in the second. ∴ m = 2 Also, the no. of columns of product (resulting) matrix is equal to no. of columns of second matrix. ∴ n = 1 Order of matrix X = m × n = 2 × 1. Let matrix X = Substituting matrix in AX = B we get, ∴ 3a + 4b = 24 ........(1) 4a - 3b = 7 ........(2) ⇒ 3a + 4b = 24 ⇒ 3a = 24 - 4b ⇒ a = ........(3) Substituting value of a from equation (3) in equation (2), we get : Substituting value of b in equation (3), we get : a = = 4. Hence, X =

Mathematics

Given, ; find the matrix X such that AX = B.

Matrices

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