Which of the following subsets of R 3x3 are subspaces of R 3x3? 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 with all zeros in the second row

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Which of the following subsets of R 3×3 are subspaces of R 3x3?
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 with all zeros in the second row
D. The 3 x 3 matrices of determinant 1
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 R 3×3 are subspaces of R 3x3? 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 with all zeros in the second row D. The 3 x 3 matrices of determinant 1 E. The diagonal 3 x 3 matrices F. The 3 x 3 matrices with determinant 0
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