Which of the following is a triangular matrix? (A) a scalar matrix (B) a lower triangular matrix (C) an upper triangular matrix (D) a diagonal matrix

Which of the following is a symmetric matrix? (A) a null matrix (B) a triangular matrix (C) an idenity matrix (D) a diagonal matrix

A matrix A=[a_(ij)] is an upper triangular matrix, if

Which of the following is correct (A) Determinant is a square matrix. (B) Determinant is a number associated to a matrix. (C) Determinant is a number associated to a square matrix. (D) None of these

For three square matrix A ,B ,&CifA B C=O&|A|!=0, is non-zero singular matrix then C must be zero matrix C must be non singular matrix C must be singular matrix C is identity matrix Data insufficient

Let A be a square matrix of order n . l = maximum number of different entries if A is a upper triangular matrix. m = minimum number of zeros if A is a triangular matrix. p = minimum number of zeros if A is a diagonal matrix. If l+2m=2p+1 , then n is :

If A is a square matrix, then A A is a (a) skew-symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

The matrix [(0, 5,-7),(-5, 0, 11),( 7,-11, 0)] is (a) a skew-symmetric matrix (b) a symmetric matrix (c) a diagonal matrix (d) an upper triangular matrix

Which of the following is/are incorrect? (i) adjoint of a symmetric matrix is symmetric (ii) adjoint of a unit matrix is a unit matrix (iii) A (adj A)=(adj A)A=absAI (iv) adjoint of a diagonal matrix is a diagonal matrix

If A is an invertible matrix and B is a matrix, then