Statement 1: The inverse of singular matrix `A=([a_(i j)])_(nxxn),w h e r ea_(i j)=0,igeqji sB=([a i j-1])_(nxxn)dot` Statement 2: The inverse of singular square matrix does not exist.

Construct a matrix [a_(ij)]_(3xx3) ,where a_(ij)=(i-j)/(i+j).

In square matrix A=(a_(ij)) if i lt j and a_(ij)=0 then A is

Statement 1: The determinant of a matrix A=[a_(ij)]_(5xx5) where a_(ij)+a_(ji)=0 for all i and j is zero.Statement 2: The determinant of a skew-symmetric matrix of odd order is zero

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

Write the name of the square matrix A=a_(ij) in which a_(ij)=0 , i!=j ,

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 The determinant fo a matrix A= [a_(ij)] _(nxxn), where a_(ij) + a_(ji) = 0 for all i and j is zero. Statement- 2 The determinant of a skew-symmetric matrix of odd order is zero.

The square matrix A=[a_(ij)" given by "a_(ij)=(i-j)^3 , is a

If a square matrix A=[a_(ij)]_(3 times 3) where a_(ij)=i^(2)-j^(2) , then |A|=

If matrix A=[a_(ij)]_(2X2') where a_(ij)={[1,i!=j0,i=j]}, then A^(2) is equal to