Consider the following matrix A and its reduced row-echelon form: -2 6-2 2 -10 -10 -6 18 -4 4-24 -22 A = -2 6-1 1-7 -6 1 -3 0 0 2 1 0 0 1 0 1 5 0 0 1 -2 1 0 -1 3 -2 3 -10 -8 000000 - Find the dimensions of row(A), null(A), and im(A), and give a basis for each of them Dimension of row(A): 1 Basis for row(A): Dimension of null(A): 1 {:} 0 Basis for null(A): {B} 0 Dimension of im(A): 1 0 {8} Basis for im(A): rref(A) =
Consider the following matrix A and its reduced row-echelon form: -2 6-2 2 -10 -10 -6 18 -4 4-24 -22 A = -2 6-1 1-7 -6 1 -3 0 0 2 1 0 0 1 0 1 5 0 0 1 -2 1 0 -1 3 -2 3 -10 -8 000000 - Find the dimensions of row(A), null(A), and im(A), and give a basis for each of them Dimension of row(A): 1 Basis for row(A): Dimension of null(A): 1 {:} 0 Basis for null(A): {B} 0 Dimension of im(A): 1 0 {8} Basis for im(A): rref(A) =
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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