Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
000
Which of the following subsets of R³x3 are subspaces of R³x3?
A. The invertible 3 x 3 matrices
B. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries)
C. The 3 x 3 matrices of determinant 2
--0
=
D. The 3 x 3 matrices A such that A 4
E. The non-invertible 3 x 3 matrices
F. The diagonal 3 x 3 matrices
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Transcribed Image Text:000 Which of the following subsets of R³x3 are subspaces of R³x3? A. The invertible 3 x 3 matrices B. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) C. The 3 x 3 matrices of determinant 2 --0 = D. The 3 x 3 matrices A such that A 4 E. The non-invertible 3 x 3 matrices F. The diagonal 3 x 3 matrices
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