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Suppose A is an 7x8 matrix with singular value decomposition A = UEV and 1 non-zero singular value Which of the following statements are true? (1) Nul(47) has dimension 7. (11) Nul(4) has dimension 7. (111) Row(4) has dimension 1. (A) none of them (B) (111) only (C) (1) and (111) only (D) (11) and (111) only (E) (1) only (F) all of them (G) (11) only (H) (1) and (11) only

Suppose A is an 7x8 matrix with singular value decomposition A = UEV and 1 non-zero singular value Which of the following statements are true? (1) Nul(47) has dimension 7. (11) Nul(4) has dimension 7. (111) Row(4) has dimension 1. (A) none of them (B) (111) only (C) (1) and (111) only (D) (11) and (111) only (E) (1) only (F) all of them (G) (11) only (H) (1) and (11) only

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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Suppose A is an 7 x 8 matrix with singular value decomposition A = UEV and 1 non-zero singular value. Which of the following statements are true? (1) Nul(47) has dimension 7. (ii) Nul(4) has dimension 7. (iii) Row(4) has dimension 1. (A) none of them (B) (in) only (C) (i) and (111) only (D) (11) and (111) only (E) (1) only (F) all of them (G) (11) only (H) (1) and (11) only
Transcribed Image Text:Suppose A is an 7 x 8 matrix with singular value decomposition A = UEV and 1 non-zero singular value. Which of the following statements are true? (1) Nul(47) has dimension 7. (ii) Nul(4) has dimension 7. (iii) Row(4) has dimension 1. (A) none of them (B) (in) only (C) (i) and (111) only (D) (11) and (111) only (E) (1) only (F) all of them (G) (11) only (H) (1) and (11) only
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