Let 3 0 0 1 1 0 4 0 A = u = %3D 0 0 4 1 3 (a) Find a matrix X and a diagonal matrix A such that A = XAX-1. %3D Aku (b) Use the diagonalization from part (a) to compute A10 and lim k→00 4k (c) Use the...

Let<br>3 0 0<br>1<br>1<br>0 4 0<br>A =<br>u =<br>%3D<br>0 0 4<br>1<br>3<br>(a) Find a matrix X and a diagonal matrix A such that A = XAX-1.<br>%3D<br>Aku<br>(b) Use the diagonalization from part (a) to compute A10 and lim<br>k→00 4k<br>(c) Use the diagonalization from part (a) to find the eigenvalues of<br>4 1 1 2<br>1 5<br>1<br>1<br>B =<br>1<br>1<br>1<br>2 1 1 4<br>||<br>

Extracted text: Let 3 0 0 1 1 0 4 0 A = u = %3D 0 0 4 1 3 (a) Find a matrix X and a diagonal matrix A such that A = XAX-1. %3D Aku (b) Use the diagonalization from part (a) to compute A10 and lim k→00 4k (c) Use the diagonalization from part (a) to find the eigenvalues of 4 1 1 2 1 5 1 1 B = 1 1 1 2 1 1 4 ||

Jun 04, 2022

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Let 3 0 0 1 1 0 4 0 A = u = %3D 0 0 4 1 3 (a) Find a matrix X and a diagonal matrix A such that A = XAX-1. %3D Aku (b) Use the diagonalization from part (a) to compute A10 and lim k→00 4k (c) Use the...

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