MCCC MAT203 Linear Algebra Prof. Porter's SAMPLE EXAM 2
Normalize any two of the vectors above.
What would the set be called if all the vectors are normal?
Evaluate:
Determine if the function is a linear transformation.
For the given linear transformation, find the matrix A.
Describe the null space and range.
X |
1 |
2 |
3 |
4 |
Y |
3 |
2 |
3 |
5 |
Show how you would find the eigenvalues.
Give the characteristic polynomial.
Give the eigenvalues.
What is the algebraic multiplicity?
If x=2 Find the eigenvectors.
Is the matrix defective? Why?
Give the eigenvalues.
Give the eigenvectors
Determine if the matrix is diagonalizable.
If so, diagonalize it.
Calculate