5-2 Let A = Find a 2 × 2 matrix B such 12-5 that B3 = A. Hint: Try diagonalizing the matrix. How might this help?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 8E
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5-2
Let A
=
Find a 2 × 2 matrix B such
12-5
that B3 = A.
Hint: Try diagonalizing the matrix. How might this help?
Transcribed Image Text:5-2 Let A = Find a 2 × 2 matrix B such 12-5 that B3 = A. Hint: Try diagonalizing the matrix. How might this help?
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