Given matrix A = . If AX = B, (i) write the order of matrix X. (ii) find the matrix 'X'.

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KnowledgeBoat · Accepted Answer

(i) Let order of matrix X be a × b. i.e. 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 X = 2 × 1. (ii) Let matrix X = Given, By definition of equality of matrices we get, 2x + y = 4 ⇒ y = 4 - 2x .......(i) x + 2y = 5 Substituting value of y from (i) in above equation we get, ⇒ x + 2(4 - 2x) = 5 ⇒ x + 8 - 4x = 5 ⇒ -3x = 5 - 8 ⇒ -3x = -3 ⇒ x = 1. ⇒ y = 4 - 2x = 4 - 2(1) = 2. Hence, X =

	Pulses(kg)	Tea packets	Refined oil(litre)
1.Neeta	15	3	8
2.Salma	10	4	12
3.Vivian	5	5	9

Mathematics

Given matrix A = . If AX = B, (i) write the order of matrix X. (ii) find the matrix 'X'.

Matrices

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