Darnell's car used 8 gallons or gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline
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You find the eigenvalues of a matrix A by following these steps:
- Compute the matrix
, where I is the identity matrix (1s on the diagonal, 0s elsewhere)
- Compute the determinant of A'
- Set the determinant of A' equal to zero and solve for lambda.
So, in this case, we have
The determinant of this matrix is
Finally, we have
So, the two eigenvalues are