Consider the matrix A = Then for every positive integer n, we have %3D An = 2nA A" = 2"-1A %3D %3D the above is true the above is true An = A the above is true None of these

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Consider the matrix A =
Then for every positive integer n, we have
An = 2nA
A" = 2"-1A
the above is true
the above is true
An = A
the above is true
None of these
Which of the following statements is false about the Elementary row operations?
None of these
O We can multiply any row by any nonzero constant.
We can interchange any two columns.
Transcribed Image Text:Consider the matrix A = Then for every positive integer n, we have An = 2nA A" = 2"-1A the above is true the above is true An = A the above is true None of these Which of the following statements is false about the Elementary row operations? None of these O We can multiply any row by any nonzero constant. We can interchange any two columns.
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