Let A be an n× n matrix, with real valued entries, and suppose A is NOT invertible. Which of the following statments is true? 1) The columns of A are lienarly dependent. 2) The linear transformation given by A is injective. 3) The columnds of A span R“. 4) The lineaer transforamtion given by A is not surjective. 5) There is an nX n matrice D sich that AS = I„. Enter the numbers corresponding to the statements which are true into an array Ans in ascending order, and if none are true, use Ans = [NaN].
Let A be an n× n matrix, with real valued entries, and suppose A is NOT invertible. Which of the following statments is true? 1) The columns of A are lienarly dependent. 2) The linear transformation given by A is injective. 3) The columnds of A span R“. 4) The lineaer transforamtion given by A is not surjective. 5) There is an nX n matrice D sich that AS = I„. Enter the numbers corresponding to the statements which are true into an array Ans in ascending order, and if none are true, use Ans = [NaN].
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 23EQ
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