Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces. 1 3 - 6 136 4 6 18 1 7 004 -6 A = - 2 CO 6 -2 12 000 4 5 15 0 19 000 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 10CM: Find ATA for the matrix A=[531246]. Show that this product is symmetric.
Question
Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the
dimensions of these subspaces.
1 3
-
6
136 4
6 18
1 7
004 -6
A =
-
2
CO
6
-2 12
000 4
5 15 0 19
000
0
Transcribed Image Text:Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces. 1 3 - 6 136 4 6 18 1 7 004 -6 A = - 2 CO 6 -2 12 000 4 5 15 0 19 000 0
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