Which of the following subsets of R³x3 are subspaces of R³×32 A. The 3 x 3 matrices whose entries are all integers B. The 3 x 3 matrices whose entries are all greater than or equal to 0 C. The 3 x 3 matrices with all zeros in the second row OD. The invertible 3 x 3 matrices DE. The diagonal 3 x 3 matrices OF. The symmetric 3 x 3 matrices

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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Which of the following subsets of R³x3 are subspaces of R³x32
A. The 3 x 3 matrices whose entries are all integers
B. The 3 x 3 matrices whose entries are all greater than or equal to 0
C. The 3 x 3 matrices with all zeros in the second row
D. The invertible 3 x 3 matrices.
0000
E. The diagonal 3 x 3 matrices
F. The symmetric 3 x 3 matrices
Transcribed Image Text:Which of the following subsets of R³x3 are subspaces of R³x32 A. The 3 x 3 matrices whose entries are all integers B. The 3 x 3 matrices whose entries are all greater than or equal to 0 C. The 3 x 3 matrices with all zeros in the second row D. The invertible 3 x 3 matrices. 0000 E. The diagonal 3 x 3 matrices F. The symmetric 3 x 3 matrices
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