If A = and 3A × M = 2B; find matrix M.

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Let order of matrix M be a × b. Given, Since product of matrix is possible, only when the number of columns in the first matrix is equal to no. of rows in second. ∴ a = 2. Also the no. of columns of product (resulting matrix) is equal to no. of columns of second matrix. ∴ b = 1. Hence, order of matrix M = 2 × 1. Let M = Substituting value of A, M and B in (i) we get, By definition of equality of matrices we get, -3b = -10 ⇒ b = ....(i) 12a - 9b = 12 Substituting value of b from (i) in above equation we get, Hence, M =

Mathematics

If A = and 3A × M = 2B; find matrix M.

Matrices

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