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Standard XII

Mathematics

Elementary Transformations

If A is a non...

Question

If A is a non-singular matrix of order (nxn), then rank (A) is ?

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Solution

The correct option is B n
Given A is non-singular matrix of order $n \times n$
$| A |_{n \times n} \neq 0$
So, by definition of rank of matrix
Rank of $A = n$
Hence, option 'B' is correct.

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If A, B are square matrices of order 3, A is non-singular and AB = O, then B is a
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If A is a non-singular matrix of order (nxn), then rank (A) is ?

The correct option is B nGiven A is non-singular matrix of order n×n|A|n×n≠0So, by definition of rank of matrix Rank of A=nHence, option 'B' is correct.

The correct option is B n
Given A is non-singular matrix of order $n \times n$
$| A |_{n \times n} \neq 0$
So, by definition of rank of matrix
Rank of $A = n$
Hence, option 'B' is correct.