Spring 2003 - Buss' Class - Quiz 4

Spring 2003 - Buss' Class - Quiz 4 - Name: Student ID:...

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Name: Thursday section time: Student ID: Math 20F - Linear Algebra - Spring 2003 Quiz #4 — May 8 (Do not discuss the quiz with students who haven’t taken it yet – until 8:00pm.) You must show your work in order to get credit for a problem. Label your answers clearly. 1. State the definition of “the rank of A ”. ANSWER: The dimension of the row space of A . (It also equals the dimension of the column space of A .) 2. Now let A be the matrix A = 12111 12232 12233 12234 . Answer questions a.-e. a. Calculate the rank A . b. Calculate the nullity A . c. Give a basis for the column space of A . d. Give a basis for the row space of A . e. Give a basis for the null space of A . ANSWER: Use row operations to find the row echelon form of
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