Consider the matrix A = [2, -1, 1, 2; 0, 2, 1, 1; 0, 0, 2,...

Consider the matrix A = [2, -1, 1, 2; 0, 2, 1, 1; 0, 0, 2, 2; 0, 0, 0, 1]. Find P, so that P^(-1) A P is in Jordan normal form.

Expert Solution

Colby Messinger answered 2 years ago

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A:=<<0,-1,1>|<4,0,-2>|<2,-1,0>|<2,1,1>>; Matrix(3, 4, [[0, 4, 2, 2], [-1, 0, -1, 1], [1, -2, 0, 1]]) (a)...

A:=<<0,-1,1>|<4,0,-2>|<2,-1,0>|<2,1,1>>; Matrix(3, 4, [[0, 4, 2, 2], [-1, 0, -1, 1], [1, -2, 0, 1]]) (a) Use the concept of matrix Rank to argue, without performing ANY calculation, why the columns of this matrix canNOT be linerly independent. (b) Use Gauss-Jordan elimination method (you can use ReducedRowEchelonForm command) to identify a set B of linearly independent column vectors of A that span the column space of A. Express the column vectors of A that are not included in the set...

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