Question

Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the order of the matrix X

Answer 1

The order of A is 2 × 2 and order of B is 2 × 1. Let the order of X be m × n.

Now, AX will exist only if the number of columns of A is equal to the number of rows of X, i.e, m = 2

When a matrix of order a × c is multiplied with another matrix of order c × b, the resultant matrix has the order a × b.

`A_(2 xx 2) xx X_(2 xx n) = (AX)_(2xxn) = B_(2xx1)`

∴ n = 1

Therefore, order of matrix X is 2 × 1