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Suppose a 7 ×9 matrix A has six pivot columns. What is nullity A? Is Col A = R6? Why or why not? nullity A = (Simplify your answer.)

Suppose a 7 ×9 matrix A has six pivot columns. What is nullity A? Is Col A = R6? Why or why not? nullity A = (Simplify your answer.)

Advanced Engineering Mathematics
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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Suppose a \(7 \times 9\) matrix \(A\) has six pivot columns. What is the nullity of \(A\)? Is \(\text{Col } A = \mathbb{R}^6\)? Why or why not? \[ \text{nullity } A = \_\_ \text{ (Simplify your answer.)} \]
Transcribed Image Text:Suppose a \(7 \times 9\) matrix \(A\) has six pivot columns. What is the nullity of \(A\)? Is \(\text{Col } A = \mathbb{R}^6\)? Why or why not? \[ \text{nullity } A = \_\_ \text{ (Simplify your answer.)} \]
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