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7. For the matrix: A = b. B Row B Rank (A)= -4 a. Find a basis for the row space of A and rank(A). 1 0 -2 130 (olumn =) 3-2 4 -2 -2 10 ONN Find a basis for the column space of A. (1,3,0), (0,2,-2), (-2,4,10), (0, -2,-2)} Klu.0), (0.0 11,0,0), (0,1,0), (-2-5,6),(0,1,0) REF 0-20 01-51 0 0 0 0 1

7. For the matrix: A = b. B Row B Rank (A)= -4 a. Find a basis for the row space of A and rank(A). 1 0 -2 130 (olumn =) 3-2 4 -2 -2 10 ONN Find a basis for the column space of A. (1,3,0), (0,2,-2), (-2,4,10), (0, -2,-2)} Klu.0), (0.0 11,0,0), (0,1,0), (-2-5,6),(0,1,0) REF 0-20 01-51 0 0 0 0 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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+1 +2 -1 a. 7. For the matrix: A = B Row Rank (A) = 4 B 1 0 3 -2 0 -2 10 Find a basis for the row space of A and rank(A). HI -2 b. Find a basis for the column space of A. (olumn =) {(1,3,0), (0.-2,-2), (-2,9,10), (0, -2,-2)} 5; 6; 7; 9) King₂.0), (0. D), (0,1,0), (-2.-5,0), (0, 1,0) REF 0 C } 0-20 1-5 1 0 0 0 -3/2 ə J d 1 - 10/ 2 -3
Transcribed Image Text:+1 +2 -1 a. 7. For the matrix: A = B Row Rank (A) = 4 B 1 0 3 -2 0 -2 10 Find a basis for the row space of A and rank(A). HI -2 b. Find a basis for the column space of A. (olumn =) {(1,3,0), (0.-2,-2), (-2,9,10), (0, -2,-2)} 5; 6; 7; 9) King₂.0), (0. D), (0,1,0), (-2.-5,0), (0, 1,0) REF 0 C } 0-20 1-5 1 0 0 0 -3/2 ə J d 1 - 10/ 2 -3
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