Let A be a 5 x8 matrix and let rref(A) denote its reduced row echelon form. Which of the following is the following statements is always TRUEZ If the number of pivots of rref(A) equals five, then the columns space of A is R°. If rref(A) has five pivots, then the columns of A are linearly independent. If the columns 2, 3, 4, 5, and 8 of rref(A) are exactly the ones that have no pivot, then the nullity of A is 3 None of the suggested statements is is true. If columns 2, 3, and 8 of rref(A) have no pivot, then A must have 2 linearly independent rows.
Let A be a 5 x8 matrix and let rref(A) denote its reduced row echelon form. Which of the following is the following statements is always TRUEZ If the number of pivots of rref(A) equals five, then the columns space of A is R°. If rref(A) has five pivots, then the columns of A are linearly independent. If the columns 2, 3, 4, 5, and 8 of rref(A) are exactly the ones that have no pivot, then the nullity of A is 3 None of the suggested statements is is true. If columns 2, 3, and 8 of rref(A) have no pivot, then A must have 2 linearly independent rows.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 3T
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
Transcribed Image Text:Let A be a 5 x8 matrix and let rref(A) denote its reduced row echelon form. Which of the following is the following statements is always TRUEZ
If the number of pivots of rref(A) equals five, then the columns space of A is R°.
If rref(A) has five pivots, then the columns of A are linearly independent.
If the columns 2, 3, 4, 5, and 8 of rref(A) are exactly the ones that have no pivot, then the nullity of A is 3
None of the suggested statements is is true.
If columns 2, 3, and 8 of rref(A) have no pivot, then A must have 2 linearly independent rows.
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