Solution Found!
Solved: Suppose an m × n matrix A has n pivot columns.
Chapter 1, Problem 40E(choose chapter or problem)
QUESTION:
Suppose an \(m \times n\) matrix A has n pivot columns. Explain why for each b in \(\mathbb{R}^{m}\) the equation Ax = b has at most one solution. [Hint: Explain why Ax = b cannot have infinitely many solutions.]
Questions & Answers
QUESTION:
Suppose an \(m \times n\) matrix A has n pivot columns. Explain why for each b in \(\mathbb{R}^{m}\) the equation Ax = b has at most one solution. [Hint: Explain why Ax = b cannot have infinitely many solutions.]
ANSWER:Solution:
Step 1: Suppose an m × n matrix A has n pivot columns.