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Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 5 - Problem 37
Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 5 - Problem 37

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# TRUE OR FALSE If matrix A is similar to B and A is orthogonal, then B must be orthogonal ISBN: 9780136009269 434

## Solution for problem 37 Chapter 5

Linear Algebra with Applications | 4th Edition

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Problem 37

TRUE OR FALSE? If matrix A is similar to B and A is orthogonal, then B must be orthogonal as well.

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M303 Section 5.1 Notes- Introduction to “Eigenstuff”; Diagonalization 11-30-16  From here on, only consider square matrices ( )  If is × , then gives rise to liner map :ℝ → ℝ givn by = o Since source and target dimensions are identical, can compare inputs and outputs  Focus on vectors on which has particularly simple effect  Eigenvector of matrix - nonzero vector such that = , where ℝ o uniquely determined and called the eigenvalue of (for ); we call a -eigenvector o Eigenvalues of are scalars for which there

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Step 3 of 3

##### ISBN: 9780136009269

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