MATH 240 Final: MATH 240 NIU Final99f
Document Summary
Math 240: (20 pts) let a be the following matrix. 12/10/1999 (a) reduce the matrix a to row echelon form. (b) find a basis for the column space of a. (c) find a basis for the nullspace of a: (20 pts) let a be the following matrix. 5 (a) find the characteristic polynomial of a. (b) find the eigenvalues of a. (c) why can the matrix a be diagonalized: (25 pts) let a be the following matrix. 5 are eigenvectors of a. (a) find the eigenvalues of a that correspond to v1, v2, and v3. (b) find the inverse of the following matrix. 1 (c) for the matrix p in part (b), compute p 1ap : (25 pts) let p2 be the vector space of all polynomials of degree at most 2.
