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Let 2 -4 3 1 0] 1 -2 1 -4 2 A = 1 -1 3 1 4 -7 4 -4 5 Do the following regarding the row space of A, R(A). (i) Describe R(A) with respect to the rows of A (no working required). (ii) By (i), identify the set B1 such that L(B1) = R(A) (no working required). (iii) Discuss the relations among the vectors of Bị to determine the subset T, c B, such that T, is linearly independent and L(T))=R(A).

Let 2 -4 3 1 0] 1 -2 1 -4 2 A = 1 -1 3 1 4 -7 4 -4 5 Do the following regarding the row space of A, R(A). (i) Describe R(A) with respect to the rows of A (no working required). (ii) By (i), identify the set B1 such that L(B1) = R(A) (no working required). (iii) Discuss the relations among the vectors of Bị to determine the subset T, c B, such that T, is linearly independent and L(T))=R(A).

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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Let 2 -4 101 1 -4 2 1 -1 3 1 -2 A = 3 1 4 -7 4 -4 5 Do the following regarding the row space of A, R(A). (i) Describe R(A) with respect to the rows of A (no working required). (ii) By (i), identify the set B1 such that L(B1) = R(A) (no working required). (iii) Discuss the relations among the vectors of B1 to determine the subset T, C B, such that T, is linearly independent and L(T;)=R(A).
Transcribed Image Text:Let 2 -4 101 1 -4 2 1 -1 3 1 -2 A = 3 1 4 -7 4 -4 5 Do the following regarding the row space of A, R(A). (i) Describe R(A) with respect to the rows of A (no working required). (ii) By (i), identify the set B1 such that L(B1) = R(A) (no working required). (iii) Discuss the relations among the vectors of B1 to determine the subset T, C B, such that T, is linearly independent and L(T;)=R(A).
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