Find the smallest operator T: R³ R³ integer value for K so that the linear 3 given by T(x,y,z) = (x+y+z‚kx + y −z₂x+y+z) be degonalizable. Then, for the value of K found, determine a diagonal matrix similar to the matrix of the operator T on the canotic basis of the R³.
Find the smallest operator T: R³ R³ integer value for K so that the linear 3 given by T(x,y,z) = (x+y+z‚kx + y −z₂x+y+z) be degonalizable. Then, for the value of K found, determine a diagonal matrix similar to the matrix of the operator T on the canotic basis of the R³.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
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