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One of the following is always true A) If A is upper triangular matrix, then AT-A is symmetric matrix B) If A is square singular matrix, then the system Ax= b, has no solution C) If A+B is symmetric matrix, then both A and B are sym- metric matrices D) If A is skew symmetric matrix, then A- is skew symmet- ric matrix

One of the following is always true A) If A is upper triangular matrix, then AT-A is symmetric matrix B) If A is square singular matrix, then the system Ax= b, has no solution C) If A+B is symmetric matrix, then both A and B are sym- metric matrices D) If A is skew symmetric matrix, then A- is skew symmet- ric matrix

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 16AEXP
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One of the following is always true A) If A is upper triangular matrix, then AT-A is symmetric matrix B) If A is square singular matrix, then the system Ax = b, has no solution C) If A+B is symmetric matrix, then both A and B are sym- metric matrices D) If A is skew symmetric matrix, then A- is skew symmet- ric matrix
Transcribed Image Text:One of the following is always true A) If A is upper triangular matrix, then AT-A is symmetric matrix B) If A is square singular matrix, then the system Ax = b, has no solution C) If A+B is symmetric matrix, then both A and B are sym- metric matrices D) If A is skew symmetric matrix, then A- is skew symmet- ric matrix
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