Consider the following matrix A and its reduced row-echelon form: 8 3 4 3 2 0 4 A = 2 6 3 -2-6-8-6-4-6 −2 −6 −8 −6 −4 −4 6 4 6 3 2 3 Basis for row(A): {} 0 Dimension of null(A): 1 Basis for null(A): Find the dimensions of row(A), null(A), and col(A), and give a basis for each of them. Dimension of row(A): 1 Basis for col(A): 0 0 Dimension of col(A): 1 0 {}} rref(A) = 1 0 0 0 0 0 1 0 0 0 0 0 0 000000
Consider the following matrix A and its reduced row-echelon form: 8 3 4 3 2 0 4 A = 2 6 3 -2-6-8-6-4-6 −2 −6 −8 −6 −4 −4 6 4 6 3 2 3 Basis for row(A): {} 0 Dimension of null(A): 1 Basis for null(A): Find the dimensions of row(A), null(A), and col(A), and give a basis for each of them. Dimension of row(A): 1 Basis for col(A): 0 0 Dimension of col(A): 1 0 {}} rref(A) = 1 0 0 0 0 0 1 0 0 0 0 0 0 000000
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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