If A = find the matrix X such that AX = B.

Question

KnowledgeBoat · Accepted Answer

Given, X will be a matrix of order 2 × 1. So, let X = . By definition of equality of matrices we get, 2a + b = 3 ⇒ b = 3 - 2a .......(i) a + 3b = -11 Substituting value of b from (i) in above equation we get, ⇒ a + 3(3 - 2a) = -11 ⇒ a + 9 - 6a = -11 ⇒ -5a = -11 - 9 ⇒ -5a = -20 ⇒ a = 4. b = 3 - 2a = 3 - 2(4) = 3 - 8 = -5. Hence, X =

Mathematics

If A = find the matrix X such that AX = B.

Matrices

Related Questions

If A and B are any two 2 × 2 matrices such that AB = BA = B and B is not a zero matrix, what can you say about the matrix A?