Which of the following subsets of R³x3 are subspaces of R³×³? A. The 3 x 3 matrices with all zeros in the third row B. The 3 x 3 matrices whose entries are all integers C. The symmetric 3 x 3 matrices D. The invertible 3 x 3 matrices E. The diagonal 3 x 3 matrices F. The 3 x 3 matrices with determinant 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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Which of the following subsets of R³×3 are subspaces of R³×³?
A. The 3 × 3 matrices with all zeros in the third row
| B. The 3 × 3 matrices whose entries are all integers
C. The symmetric 3 x 3 matrices
D. The invertible 3 x 3 matrices
E. The diagonal 3 x 3 matrices
F. The 3 x 3 matrices with determinant 0
Transcribed Image Text:Which of the following subsets of R³×3 are subspaces of R³×³? A. The 3 × 3 matrices with all zeros in the third row | B. The 3 × 3 matrices whose entries are all integers C. The symmetric 3 x 3 matrices D. The invertible 3 x 3 matrices E. The diagonal 3 x 3 matrices F. The 3 x 3 matrices with determinant 0
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