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.)

Question
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.)
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Transcribed Image 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.)

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