Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Transcribed Image Text:4. Let \( A \) be an \( m \times n \) matrix, with \( m < n \), which after being put in reduced echelon form is shown to have exactly two non-pivot variables. Then:
a. The system of equations \( A \mathbf{x} = \mathbf{b} \) cannot have a unique solution
b. \(\text{rank}(A) = n - 2\)
c. \( m \geq n - 2\)
d. All of the above
Expert Solution
Step 1
Given A is matrix with m<n and have exactly 2 non-pivot variable.
ie, number of pivot column is =n-2
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