Let -1 7 -1 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you found in part (1) makes P-AP a diagonal matrix, say D. Write down this matrix D without finding P-1. (3) Is the matrix P you found unique? That is, could you find a different matrix, say P, that also diagonalizes A? If yes, then write down the corresponding diagonal matrix D1 = P'AP. %3D
Let -1 7 -1 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you found in part (1) makes P-AP a diagonal matrix, say D. Write down this matrix D without finding P-1. (3) Is the matrix P you found unique? That is, could you find a different matrix, say P, that also diagonalizes A? If yes, then write down the corresponding diagonal matrix D1 = P'AP. %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 40EQ
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