True or False statements :
For a non-singular matrix A, `(A')^-1 = (A^-1)'`.

For the non singular matrix A,(adjA)^(-1)=(adjA^(-1))

If A is a non - singular matrix then

True or False : If A is a square matrix and |A| ne 0, then (A^3)^-1 = (A^-1)^3)

True or False statements : If A is any square matrix, then (A-A')/2 is always symmetric.

True or False statements : If A is any square matrix, then (A+A')/2 is always skew-symmetric.

True or False statements : If A and B are non-zero square matrices of the same order then AB is also a non-zero matrix.

Statement-1 (Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement-1 For a singular matrix A , if AB = AC rArr B = C Statement-2 If abs(A) = 0, thhen A^(-1) does not exist. a. Statement- is true, Statement -2 is true, Statement-2 is a correct explanation for Statement-1 b. Statement-1 is true, Statement-2 is true, Sttatement - 2 is not a correct explanation for Stamtement-1 c. Statement 1 is true, Statement - 2 is false d. Statement-1 is false, Statement-2 is true

True or False statements : Transpose of a row matrix is a column matrix.

True or False statements : Matrix addition is not associative.

True or False statements : If and B are invertible matrices such that AB = BA, then (AB)^-1 = A^-1B^-1