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