Use a property of determinants to show that A and A' have the same characteristic polynomial. ..... Choose the correct answer below. O A. Start with det(A) = (– 1)det(A'). Then use the formula AA' = 1. O B. Start with det (AA'). Use the formula det AB = (det A)(det B) to write det (AA') = (det A) (det AT). Then use the formula AAT = 1. C. Start with det (A - 2l1) = det (A' - al' )= det(A – Al)". Then use the formula det A' = det A.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Use a property of determinants to show that A and A' have the same characteristic polynomial.
.....
Choose the correct answer below.
A.
Start with det(A) = (– 1)det (A'). Then use the formula AA' = 1.
В.
Start with det (AA'). Use the formula det AB = (det A)(det B) to write det (AA') = (det A) (det A'). Then use the formula AA' = 1.
%3D
%3D
С.
Start with det (A' - a1) = det (A' - al')= det(A - Al)'. Then use the formula det A' = det A.
Transcribed Image Text:Use a property of determinants to show that A and A' have the same characteristic polynomial. ..... Choose the correct answer below. A. Start with det(A) = (– 1)det (A'). Then use the formula AA' = 1. В. Start with det (AA'). Use the formula det AB = (det A)(det B) to write det (AA') = (det A) (det A'). Then use the formula AA' = 1. %3D %3D С. Start with det (A' - a1) = det (A' - al')= det(A - Al)'. Then use the formula det A' = det A.
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