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.14- 81 4 323 12170 0 4- 7A =8- 19.0 0 044 16130 0 0...1- 817A basis for Col A is given by- 19.413(Use a comma to separate answers as needed.)The dimension of Col A is 3 . (Type an integer.)A basis for Nul A is given by {(Use a comma to separate answers as needed.)

Answered: Image /qna-images/answer/20656576-7626-4a46-9ddf-beea53ad6c6c.jpg

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 4 3 -8 1 4 3 3 12 1 0 0 4 -7 A = 2 8 - 1 0 0 0 4 4 16 13 0 0 0 1 - 8 1 7 A basis for Col A is given by { - 1 13 (Use a comma to separate answers as needed.) The dimension of Col A is 3. (Type an integer.) A basis for Nul A is given by { }. (Use a comma to separate answers as needed.)

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 4 3 -8 1 4 3 3 12 1 0 0 4 -7 A = 2 8 - 1 0 0 0 4 4 16 13 0 0 0 1 - 8 1 7 A basis for Col A is given by { - 1 13 (Use a comma to separate answers as needed.) The dimension of Col A is 3. (Type an integer.) A basis for Nul A is given by { }. (Use a comma to separate answers as needed.)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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