Let A be an n × n nonzero matrix satisfying A10 = O. Explain why A must be singular. What properties of determinants are you using in your argument?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 276E: Explain the difference between a square matrix and its determinant. Give an example of each.
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Let A be an n × n nonzero matrix satisfying A10 = O. Explain why A must be singular. What properties of determinants are you using in your argument?

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