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Let A be an n n matrix. Show that A is nonsingular if and only if every eigenvalue of
Chapter 6, Problem 13(choose chapter or problem)
QUESTION:
Let A be an n n matrix. Show that A is nonsingular if and only if every eigenvalue of ATA is positive.
Questions & Answers
QUESTION:
Let A be an n n matrix. Show that A is nonsingular if and only if every eigenvalue of ATA is positive.
ANSWER:Step 1 of 2
As we know that
From this we see that the Eigenvalue cannot be zero.
- eqn1