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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 39E
Question
Pls correct option with explanation. Thanksss. All parts correct pls or skip.
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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