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Types Of Matrices|Identify|Upper Triangular Matrix|Lower Triangular Matrix|Zero Matrix|OMR

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Null matrix upper triangular matrix and lower triangular matrix

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

If A is an upper triangular matrix of order nxxna n dB is a lower triangular matrix of order nxxna n dB is a lower triangular matrix of order nxxn , then prove that (A^(prime)+B)xx(A+B ') will be a diagonal matrix of order nxxn [assume all elements of A and dB to e non-negative and a element of (A^(prime)+B)xx(A+B^(prime))a sC_(i j) ].

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

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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

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

show that the product of two triangular matrices is itself triangular