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
icon
Related questions
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Determinant
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning