Let R be a square matrix of order greater than 1 such that R is lower triangular.Further suppose that none of the diagonal elements of the square matrix R vanishes. Then (A) R must be non singular (B) `R^-1` does not exist (C) `R^-1` is an upper triangular matrix (D) `R^-1` is a lower triangular matrix

Let R be a square matrix of order greater than 1 such that R is upper triangular matrix .Further suppose that none of the diagonal elements of the square matrix R vanishes. Then (A) R must be non singular (B) R^-1 does not exist (C) R^-1 is an upper triangular matrix (D) R^-1 is a lower triangular matrix

Let A be a matrix of rank r. Then,

Let A be a non-singular square matrix of order n.Then; |adjA|=|A|^(n-1)

If A is a square matrix of order n such that its elements are polynomila in x and its r-rows become identical for x = k, then

If A is a square matrix of order n such that its elements are polynomila in x and its r-rows become identical for x = k, then

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 triangular matrix? (A) a scalar matrix (B) a lower triangular matrix (C) an upper triangular matrix (D) a diagonal matrix

If A ,\ B are square matrices of order 3,\ A is non-singular and A B=O , then B is a (a) null matrix (b) singular matrix (c) unit matrix (d) non-singular matrix