1.
If is a natural number. Then is
2.
=,then
3.
If a square matrix is such that , then is equal to
4.
If is a scalar and is a unit matrix of order 3, then adj () is equal to
5.
If is a singular matrix, then adj () is a
6.
If and are two matrices such that the product is null matrix, then is
7.
Consider the following statements:
  1. If A and B are two square matrices of same order and commute, then (A+B)(A-B) = A^{2} - B^{2}
  2. If A and B are  two square matrics of same order, then  (AB)^{n}=A^{n}B^{n}
  3. If A and B are two matrices such that AB = A and BA = B, then A and B are idempotent
Which of these is/are not correct?
8.
If the rank of is equal to
9.
If A and B are matrices such that andthen
10.
The inverse of the matrix
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