Which of the following subsets of R³X3 are subspaces of R³X³ A. The diagonal 3 x 3 matrices B. The 3 x 3 matrices whose entries are all integers c. The 3 x 3 matrices with all zeros in the second row D. The invertible 3 x 3 matrices - (8) = 5 OF. The 3 x 3 matrices whose entries are all greater than or equal to 0 7 E. The 3 x 3 matrices A such that A 6

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Which of the following subsets of R³x3 are subspaces of R³x³?
A. The diagonal 3 x 3 matrices
B. The 3 x 3 matrices whose entries are all integers
c. The 3 x 3 matrices with all zeros in the second row
D. The invertible 3 x 3 matrices
7
E. The 3 x 3 matrices A such that A 6
=
-(8)
5
F. The 3 x 3 matrices whose entries are all greater than or equal to 0
Transcribed Image Text:Which of the following subsets of R³x3 are subspaces of R³x³? A. The diagonal 3 x 3 matrices B. The 3 x 3 matrices whose entries are all integers c. The 3 x 3 matrices with all zeros in the second row D. The invertible 3 x 3 matrices 7 E. The 3 x 3 matrices A such that A 6 = -(8) 5 F. The 3 x 3 matrices whose entries are all greater than or equal to 0
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