Answers can be given in fraction or decimal form. Answers in decimal form must be correct to 4
digits after the decimal.
1. A is a 2 by 2 matrix with eigenvalues 1.75 and 3.15. Give the determinant of A.
2. A is a 3 by 3 matrix with eigenvalues -1.
You have unlimited attempts on this assignment.
Note: This FITB is a mixture of old and new.
For problems 1-7: Suppose A is a 13 x 9 matrix, and the rref of A has 7 leading entries.
1. rank A =
2. dim Nul A =
3. rank AT =
4. dim Nul AT =
5. dim Row