Hal’s Sporting goods had a 1 day sale. The original price of a mountain bike was 325. On salthe it was 276.25. What is the perce
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Answer:
We have the matrix
To find the eigenvalues of A we need find the zeros of the polynomial characteristic
Then
Now, we fin the zeros of .
Then, the eigenvalues of A are of multiplicity 1 and
of multiplicity 2.
Let's find the eigenspaces of A. For :
.Then, we use row operations to find the echelon form of the matrix
We use backward substitution and we obtain
1.
2.
Therefore,
For :
.Then, we use row operations to find the echelon form of the matrix
We use backward substitution and we obtain
1.
Then,