Consider the matrix A and the vector b. A 1 2 3 1 b = a) Compute the rank of the matrix A. b) Compute the null space of the matrix A and of the matrix AT. c) Compute the least-squares solution of the set of equations Ax = b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5.5

Consider the matrix A and the vector b.
A
-
3
1
-1 2
1
2
b
=
1
a) Compute the rank of the matrix A.
b) Compute the null space of the matrix A and of the matrix AT.
c) Compute the least-squares solution of the set of equations Ax = b.
Transcribed Image Text:Consider the matrix A and the vector b. A - 3 1 -1 2 1 2 b = 1 a) Compute the rank of the matrix A. b) Compute the null space of the matrix A and of the matrix AT. c) Compute the least-squares solution of the set of equations Ax = b.
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