an m x n matrix A. Claim 1: rank(A) / rank(AT). Claim 2: If the system Ax = b has a unique solution for a given b then there is a unique solution for the system Ax = c for any c# b.
an m x n matrix A. Claim 1: rank(A) / rank(AT). Claim 2: If the system Ax = b has a unique solution for a given b then there is a unique solution for the system Ax = c for any c# b.
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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an m x n matrix A.
Claim 1: rank(A) # rank(AT).
G
Claim 2: If the system Ax = b has a unique solution for a given b then there is a unique solution
for the system Ax = c for any c = b.
Expert Solution
Step 1
Theorem:
For a given matrix A of size m×n, rank of A equal to ranks of transpose of A.
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