[" 1."^(*)],[" Matrix if "],[" O men "],[" On>n "],[" On=n "],[" None "]

A=[aij]_(mxxn) is a square matrix, if a) m=n b) m>n c) m< n d) none of these

A =([a_(i j)])_(mxxn) is a square matrix, if (a) m n (c) m =n (d) None of these

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactors of elements of matrix A_(n -1) , then |A_(n)| equals

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

A=[a_(ij)]_(m xx n) is a square matrix,if (a)m

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.

If A=[a_(ij)]_(mxxn) is a matrix of rank r then (A) rltmin{m,n} (B) rlemin{m,n} (C) r=min{m,n} (D) none of these