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1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E ={x=R* : AT = = 17}. Prove that E is a subspace of R*.

1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E ={x=R* : AT = = 17}. Prove that E is a subspace of R*.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 21E: Suppose that A is an invertible matrix over and O is a zero matrix. Prove that if AX=O, then X=O.
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1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E = {x eR": AT = 1x}. Prove that E is a subspace of R*.
Transcribed Image Text:1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E = {x eR": AT = 1x}. Prove that E is a subspace of R*.
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