If A is square matrix is called singular matrix if

If A is a square matrix, then

If A is a square matrix, then

For a square matrix A and a non-singular matrix B, of the same order, the value of |B^(-1)AB|=

Note:(1) Minimum number of zeros in an upper or lower triangular matrix of ordernn(n-1)= 1+2+3+......... + (n -1)= -2Minimum number of cyphers in a diagonal/scalar/unit matrix of order n=n(n-1)and maximum number of cyphers=n²-1.It is to be noted that with every square matrix there is a corresponding determinant formed by theelements of A in the same order. If|Al=0 then A is called a singular matrix and if|A| =0 then a iscalled a non singular matrix.To 01Note: IfA= o then det. A=0 but not conversely.

A square matrix A is called orthogonal if.

A matrix which is not a square matrix is called a..........matrix.

In a square matrix A=[a_(ij)] if igtj and a_(ij)=0 then matrix is called Square matrix Lower triangular matrix Upper triangular matrix Unit matrix

A square matrix A is said to be symmetric matrix if

A square matrix A is said to be symmetric matrix if