Consider a real 2 x 2 matrix A with two distinct real eigenvalues, k[ and k2. Explain
Chapter 7, Problem 18(choose chapter or problem)
Consider a real 2 x 2 matrix A with two distinct real eigenvalues, k[ and k2. Explain the formula detA = k\k2 geometrically, thinking of |det A| as an expansion factor. Illustrate your explanation with a sketch. Is there a similar geometric interpretation for a 3 x 3 matrix?
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