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Use the information in the table to: (i) find the dimensions of the row space of A, column space of A, null space of A, and null space of AT; (ii) determine whether or not the linear system Ax = b is consistent; (iii) find the number of parameters in the general solution of each system in (ii) that is consistent. Size of A 5x5 Rank (A) Rank ([A | b]) 5 50 (i) The dimension of the row space of A is The dimension of the column space of A is The dimension of the null space of A is The dimension of the null space of AT is (ii) The linear system consistent. (iii) Enter NA if linear system inconsistent. The number of parameters in its general solution is

Use the information in the table to: (i) find the dimensions of the row space of A, column space of A, null space of A, and null space of AT; (ii) determine whether or not the linear system Ax = b is consistent; (iii) find the number of parameters in the general solution of each system in (ii) that is consistent. Size of A 5x5 Rank (A) Rank ([A | b]) 5 50 (i) The dimension of the row space of A is The dimension of the column space of A is The dimension of the null space of A is The dimension of the null space of AT is (ii) The linear system consistent. (iii) Enter NA if linear system inconsistent. The number of parameters in its general solution is

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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Use the information in the table to: (i) find the dimensions of the row space of A, column space of A, null space of A, and null space of AT; (ii) determine whether or not the linear system Ax = b is consistent; (iii) find the number of parameters in the general solution of each system in (ii) that is consistent. Size of A 5x5 Rank (A) Rank ([A | b]) 5 50 (i) The dimension of the row space of A is The dimension of the column space of A is The dimension of the null space of A is The dimension of the null space of AT is (ii) The linear system consistent. (iii) Enter NA if linear system inconsistent. The number of parameters in its general solution is
Transcribed Image Text:Use the information in the table to: (i) find the dimensions of the row space of A, column space of A, null space of A, and null space of AT; (ii) determine whether or not the linear system Ax = b is consistent; (iii) find the number of parameters in the general solution of each system in (ii) that is consistent. Size of A 5x5 Rank (A) Rank ([A | b]) 5 50 (i) The dimension of the row space of A is The dimension of the column space of A is The dimension of the null space of A is The dimension of the null space of AT is (ii) The linear system consistent. (iii) Enter NA if linear system inconsistent. The number of parameters in its general solution is
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