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-8-905- Are the vectors Choose linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 4 -5 -2 + -3 0 3 = 0 Which of the following subsets of M3×3 are subspaces of M3×3? A. The 3 x 3 matrices A such that the vector 0 is in the kernel of A 6 B. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) C. The 3 x 3 matrices with determinant 0 D. The 3 × 3 matrices with all zeros in the third row E. The 3 x 3 matrices whose entries are all integers F. The 3 × 3 matrices in reduced row-echelon form

-8-905- Are the vectors Choose linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 4 -5 -2 + -3 0 3 = 0 Which of the following subsets of M3×3 are subspaces of M3×3? A. The 3 x 3 matrices A such that the vector 0 is in the kernel of A 6 B. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) C. The 3 x 3 matrices with determinant 0 D. The 3 × 3 matrices with all zeros in the third row E. The 3 x 3 matrices whose entries are all integers F. The 3 × 3 matrices in reduced row-echelon form

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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-8-905- Are the vectors Choose linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 4 -5 -2 + -3 0 3 = 0
Transcribed Image Text:-8-905- Are the vectors Choose linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 4 -5 -2 + -3 0 3 = 0
Which of the following subsets of M3×3 are subspaces of M3×3? A. The 3 x 3 matrices A such that the vector 0 is in the kernel of A 6 B. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) C. The 3 x 3 matrices with determinant 0 D. The 3 × 3 matrices with all zeros in the third row E. The 3 x 3 matrices whose entries are all integers F. The 3 × 3 matrices in reduced row-echelon form
Transcribed Image Text:Which of the following subsets of M3×3 are subspaces of M3×3? A. The 3 x 3 matrices A such that the vector 0 is in the kernel of A 6 B. The 3 × 3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) C. The 3 x 3 matrices with determinant 0 D. The 3 × 3 matrices with all zeros in the third row E. The 3 x 3 matrices whose entries are all integers F. The 3 × 3 matrices in reduced row-echelon form
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