Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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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 A';
(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
5×5
Rank (A)
Rank ([A | b])
(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 A' is
(ii) The linear system
v 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%2Fe2920862-4524-4e89-8fe4-f22d5c85b8fa%2Ff4205bce-7b01-4a30-8e49-416250f94ffb%2Fbmhuk7q_processed.png&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 A';
(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
5×5
Rank (A)
Rank ([A | b])
(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 A' is
(ii) The linear system
v consistent.
(iii) Enter NA if linear system inconsistent.
The number of parameters in its general solution is
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