Math 601, Spring 08
Midterm practice
These are sample problems similar to what you might find on the Midterm.
Instructions: Show all of your work. Answers without sufficient justification will re-
ceive little or no credit.
1. Define the following concepts
(a) A matrix in row echelon form
(b) The determinant of a matrix
(c) The row space and the null space of a matrix
(d) Linear independence of vectors
(e) Orthogonal vectors in an inner product space.
2. State and prove the Rank-Nullity Theorem.
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