Name:Thursday section time:Student ID:Math 20F - Linear Algebra - Spring 2003Quiz #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 ofA”.ANSWER: The dimension of therow space ofA. (It also equals the dimension of the column space ofA.)2.Now letAbe the matrixA=12111122321223312234. Answer questions a.-e.a.Calculate the rankA.b.Calculate the nullityA.c.Give a basis for the column space ofA.d.Give a basis for the row space ofA.e.Give a basis for the null space ofA.ANSWER: Use row operations to ﬁnd the row echelon form of
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