Which of the following subsets of R3X3 are subspaces of R³×³? 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 D. The 3 x 3 matrices A such that A 4 0-0 7 E. The non-invertible 3 x 3 matrices F. The diagonal 3 x 3 matrices

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
Problem 15CR
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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
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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