onsider the following three matrices 1 0 0 (1 0 C = 0 0 1 0 1 0 0 0 1 0, 0. 0 0 1 1 A = 0 0 B =0 1 2 0 0 1 1 0 0 0 1 atrix C is in RREF OTrue OFalse is an elementary matrix OTrue OFalse atrix B is invertible DTrue OFalse is an elementary matrix OTrue OFalse - = A OTrue OFalse atrix B is in REF OTrue OFalse atrix B is not in RREF OTrue OFalse is an elementary matrix OTrue OFalse atrix A is in REF OTrue OFalse RC:. 5y

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ: In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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Consider the following three matrices
1
1
0 0
1
1
A =
B =0
C =0
2
1
1
1
1
1
Matrix C is in RREF
OTrue
OFalse
C is an elementary matrix
OTrue
OFalse
Matrix B is invertible
OTrue
OFalse
B is an elementary matrix
OTrue
OFalse
A- = A
OTrue
OFalse
Matrix B is in REF
OTrue
OFalse
Matrix B is not in RREF
OTrue
OFalse
A is an elementary matrix
OTrue
OFalse
Matrix A is in REF
OTrue
OFalse
Matrix product BC is a 5 x 3 matrix not in REF
OTrue
OFalse
Transcribed Image Text:Consider the following three matrices 1 1 0 0 1 1 A = B =0 C =0 2 1 1 1 1 1 Matrix C is in RREF OTrue OFalse C is an elementary matrix OTrue OFalse Matrix B is invertible OTrue OFalse B is an elementary matrix OTrue OFalse A- = A OTrue OFalse Matrix B is in REF OTrue OFalse Matrix B is not in RREF OTrue OFalse A is an elementary matrix OTrue OFalse Matrix A is in REF OTrue OFalse Matrix product BC is a 5 x 3 matrix not in REF OTrue OFalse
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