Engineering Board Exam Reviewer · Eigenvalues and Eigenvectors · medium

Find the eigenvalues of bmatrix4&1\2&3 bmatrix.

1. 1 and 6
2. 4 and 3
3. 2 and 5
4. -2 and -5

Answer

C. 2 and 5

Solution

(A- I)=(4- )(3- )-2= 2-7 +10=( -2)( -5)=0 =2,5.

More Eigenvalues and Eigenvectors questions

1. Find the eigenvalues of bmatrix2&1\1&2 bmatrix.
2. A 2×2 matrix has eigenvalues 3 and -2. What are its determinant and trace?
3. Find the eigenvalues of bmatrix3&1\0&5 bmatrix.
4. Find the trace of A5 if A= bmatrix1&2\2&1 bmatrix.
5. A matrix A has eigenvalues 2 and 3. Find the eigenvalues of A2-3A+I.
6. Find the largest eigenvalue of bmatrix2&0&0\0&3&4\0&4&9 bmatrix.
7. An eigenvector of bmatrix4&1\2&3 bmatrix corresponding to =5 is

All Eigenvalues and Eigenvectors questions