Home
Class 12
MATHS
Let R be a square matrix of order greate...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A be a matrix of rank r. Then,

Let A; B; C be square matrices of the same order n. If A is a non singular matrix; then AB = AC then B = C

If A is a square matrix of order 3 such that |A|=2 , then |(adjA^(-1))^(-1)| is

If A is a square matrix of order 3 such that abs(A)=2, then abs((adjA^(-1))^(-1)) is

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

Let A be a square matrix of order 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

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

If A is a nilpotent matrix of odd order r , then which of the following is true?

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 :