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000 Which of the following subsets of R³×³ are subspaces of R³×³? A. The 3 x 3 matrices with all zeros in the third row B. The 3 × 3 matrices whose entries are all greater than or equal to 0 C. The diagonal 3 x 3 matrices D. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) E. The non-invertible 3 x 3 matrices F. The invertible 3 x 3 matrices

000 Which of the following subsets of R³×³ are subspaces of R³×³? A. The 3 x 3 matrices with all zeros in the third row B. The 3 × 3 matrices whose entries are all greater than or equal to 0 C. The diagonal 3 x 3 matrices D. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) E. The non-invertible 3 x 3 matrices F. The invertible 3 x 3 matrices

Advanced Engineering Mathematics
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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000 Which of the following subsets of R³×3 are subspaces of R³×³? A. The 3 x 3 matrices with all zeros in the third row B. The 3 × 3 matrices whose entries are all greater than or equal to 0 C. The diagonal 3 x 3 matrices D. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) E. The non-invertible 3 x 3 matrices F. The invertible 3 x 3 matrices
Transcribed Image Text:000 Which of the following subsets of R³×3 are subspaces of R³×³? A. The 3 x 3 matrices with all zeros in the third row B. The 3 × 3 matrices whose entries are all greater than or equal to 0 C. The diagonal 3 x 3 matrices D. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) E. The non-invertible 3 x 3 matrices F. The invertible 3 x 3 matrices
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