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Let A and P be n by n matrices, with P invertible. Does p^-1 AP=A I.pdf

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Let A and P be n by n matrices, with P invertible. Does p^-1 AP=A? Illustrate y our conculusion with appropriate examples. What can you say about the two determinants Ip^-1 API and IAI? Solution P inverse AP = A multiply by P on both sied P* P inverse = I AP = PA only when this happens | P inverse AP | = |P inverse| |A| P|| = |A| |P inverse| = 1 / |P|.

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Let A and P be n by n matrices, with P invertible. Does p^-1 AP=A? Illustrate y our conculusion with appropriate examples. What can you say about the two determinants Ip^-1 API and IAI? Solution P inverse AP = A multiply by P on both sied P* P inverse = I AP = PA only when this happens | P inverse AP | = |P inverse| |A| P|| = |A| |P inverse| = 1 / |P|

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Let A and P be n by n matrices, with P invertible. Does p^-1 AP=A I.pdf

  • 1. Let A and P be n by n matrices, with P invertible. Does p^-1 AP=A? Illustrate y our conculusion with appropriate examples. What can you say about the two determinants Ip^-1 API and IAI? Solution P inverse AP = A multiply by P on both sied P* P inverse = I AP = PA only when this happens | P inverse AP | = |P inverse| |A| P|| = |A| |P inverse| = 1 / |P|