Brian completed a 100 meter race in 11.74 seconds.Luis completed the race in 11.69 seconds.What was the difference between their
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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