A. The non-invertible 3 x 3 matrices B. The 3 x 3 matrices of determinant 2 c. The 3 x 3 matrices with all zeros in the second row D. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) 0 ¹()-()) 2 F. The 3 x 3 matrices whose entries are all greater than or equal to 0 E. The 3 x 3 matrices A such that A 3

Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 76E
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U
Which of the following subsets of R³X3 are subspaces of R³×37
A. The non-invertible 3 x 3 matrices
B. The 3 x 3 matrices of determinant 2
C. The 3 x 3 matrices with all zeros in the second row
D. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries)
¹0-0
2
F. The 3 x 3 matrices whose entries are all greater than or equal to 0
E. The 3 x 3 matrices A such that A 3
Transcribed Image Text:U Which of the following subsets of R³X3 are subspaces of R³×37 A. The non-invertible 3 x 3 matrices B. The 3 x 3 matrices of determinant 2 C. The 3 x 3 matrices with all zeros in the second row D. The 3 x 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) ¹0-0 2 F. The 3 x 3 matrices whose entries are all greater than or equal to 0 E. The 3 x 3 matrices A such that A 3
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