1 Let A be a 2 x 2 matrix with eigenvalues 6 and and corresponding eigenvectors v1 = 13 Let xbe a solution of the difference equation xk+ 1 = Axk, Xo = and v2 1 a. Compute x Ax. [Hint: You do not need...


1<br>Let A be a 2 x 2 matrix with eigenvalues 6 and and corresponding eigenvectors v1 =<br>13<br>Let xbe a solution of the difference equation xk+ 1 = Axk, Xo =<br>and v2<br>1<br>a. Compute x<br>Ax. [Hint: You do not need to know A itself.]<br>b. Find a formula for x involving k and the eigenvectors v1 and v2-<br>a. X1 Axo (Type an integer or simplified fraction for each matrix element.)<br>

Extracted text: 1 Let A be a 2 x 2 matrix with eigenvalues 6 and and corresponding eigenvectors v1 = 13 Let xbe a solution of the difference equation xk+ 1 = Axk, Xo = and v2 1 a. Compute x Ax. [Hint: You do not need to know A itself.] b. Find a formula for x involving k and the eigenvectors v1 and v2- a. X1 Axo (Type an integer or simplified fraction for each matrix element.)

Jun 04, 2022
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