6 ¹0-0 = 1 3. The 3 x 3 matrices in reduced row-echelon form C. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The 3 × 3 matrices whose entries are all greater than or equal to 0 E. The 3 x 3 matrices with determinant 0 F. The diagonal 3 x 3 matrices A. The 3 x 3 matrices A such that A 2

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following subsets of R³X3 are subspaces of R³x³?
Transcribed Image Text:Which of the following subsets of R³X3 are subspaces of R³x³?
6
-0-0
=
1
B. The 3 × 3 matrices in reduced row-echelon form
C. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries)
D. The 3 x 3 matrices whose entries are all greater than or equal to 0
E. The 3 x 3 matrices with determinant 0
F. The diagonal 3 x 3 matrices
A. The 3 x 3 matrices A such that A 2
Transcribed Image Text:6 -0-0 = 1 B. The 3 × 3 matrices in reduced row-echelon form C. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The 3 x 3 matrices whose entries are all greater than or equal to 0 E. The 3 x 3 matrices with determinant 0 F. The diagonal 3 x 3 matrices A. The 3 x 3 matrices A such that A 2
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