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Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 1 -2 0 -2 2 11 -2 0 - 2 2 1 2 -3 0 -7 - 1 0 1 -1 0 - 5 -3 A = 1 4 -5 0 -22 -2 B= 0 0 11 12 -2 1 -2 2 1 25 9 0 0 0 0 1 - 1 1 3 -4 0 - 17 - 5 0 0 0 0 1 rank A = dim Nul A = A basis for Col A is ). (Use a comma to separate vectors as needed.) A basis for Row A is (). (Use a comma to separate vectors as needed.) A basis for Nul A is O: (Use a comma to separate vectors as needed.)

Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 1 -2 0 -2 2 11 -2 0 - 2 2 1 2 -3 0 -7 - 1 0 1 -1 0 - 5 -3 A = 1 4 -5 0 -22 -2 B= 0 0 11 12 -2 1 -2 2 1 25 9 0 0 0 0 1 - 1 1 3 -4 0 - 17 - 5 0 0 0 0 1 rank A = dim Nul A = A basis for Col A is ). (Use a comma to separate vectors as needed.) A basis for Row A is (). (Use a comma to separate vectors as needed.) A basis for Nul A is O: (Use a comma to separate vectors as needed.)

Algebra for College Students
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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Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 1 -2 0 -2 2 11 -2 0 - 2 2 1 2 -3 0 -7 - 1 0 1 -1 0 - 5 -3 A = 1 4 -5 0 -22 -2 B= 0 0 11 12 -2 1 -2 2 1 25 9 0 0 0 0 1 - 1 1 3 -4 0 - 17 - 5 0 0 0 0 1 rank A = dim Nul A = A basis for Col A is ). (Use a comma to separate vectors as needed.) A basis for Row A is (). (Use a comma to separate vectors as needed.) A basis for Nul A is O: (Use a comma to separate vectors as needed.)
Transcribed Image Text:Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 1 -2 0 -2 2 11 -2 0 - 2 2 1 2 -3 0 -7 - 1 0 1 -1 0 - 5 -3 A = 1 4 -5 0 -22 -2 B= 0 0 11 12 -2 1 -2 2 1 25 9 0 0 0 0 1 - 1 1 3 -4 0 - 17 - 5 0 0 0 0 1 rank A = dim Nul A = A basis for Col A is ). (Use a comma to separate vectors as needed.) A basis for Row A is (). (Use a comma to separate vectors as needed.) A basis for Nul A is O: (Use a comma to separate vectors as needed.)
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