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
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)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 76E
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b4d98a6-2ed4-451a-82b3-b3630dcf9fce%2Ffae7326a-206a-4e19-aa49-389f49a5e8a8%2F2nfgpb7_processed.png&w=3840&q=75)
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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