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Explain why the columns of an n × n matrix A span n when A
Chapter 2, Problem 22E(choose chapter or problem)
QUESTION:
Explain why the columns of an \(n \times n\) matrix A span \(\mathbb{R}^{n}\) when A is invertible. [Hint: Review Theorem 4 in Section 1.4.]
Questions & Answers
QUESTION:
Explain why the columns of an \(n \times n\) matrix A span \(\mathbb{R}^{n}\) when A is invertible. [Hint: Review Theorem 4 in Section 1.4.]
ANSWER:Solution: Step1: We have to explain why the columns of an n × n matrix A span n when A is invertible.