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
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.CT: Test
Problem 14CT
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F652d2f23-c2bd-4d69-bf6c-fa21d9d93d55%2F8fbdcd74-5271-4083-ada7-a0e67c5c6ef5%2Fuhfoml9_processed.jpeg&w=3840&q=75)
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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