Which of the following subsets of R³X3 are subspaces of R³×3? 2 -0-8 B. The 3 x 3 matrices with all zeros in the first row C. The 3 x 3 matrices in reduced row-echelon form D. The 3 x 3 matrices with determinant 0 E. The invertible 3 x 3 matrices F. The diagonal 3 x 3 matrices A. The 3 x 3 matrices A such that A 6
Which of the following subsets of R³X3 are subspaces of R³×3? 2 -0-8 B. The 3 x 3 matrices with all zeros in the first row C. The 3 x 3 matrices in reduced row-echelon form D. The 3 x 3 matrices with determinant 0 E. The invertible 3 x 3 matrices F. The diagonal 3 x 3 matrices A. The 3 x 3 matrices A such that A 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following subsets of R³X3 are subspaces of R³×3?
2
-0-0
A. The 3 x 3 matrices A such that A 6
B. The 3 x 3 matrices with all zeros in the first row
C. The 3 x 3
matrices in reduced row-echelon form
D. The 3 x 3 matrices with determinant 0
E. The invertible 3 x 3 matrices
F. The diagonal 3 x 3 matrices
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