Linear algebra

Problem:

Let matrix
A
A be a 2×2 matrix defined as follows:

A
=
(
3
4
2
1
)
A=(3241)
Let
v
v be a vector:

v
=
(
1
3
)
v=(13)
Find the matrix-vector product
A
v
Av.
Determine if the vector
v
v is an eigenvector of the matrix
A
A, and if so, find the corresponding eigenvalue.

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