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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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This note was uploaded on 04/23/2008 for the course MATH 20F taught by Professor Buss during the Spring '03 term at UCSD.
 Spring '03
 BUSS
 Linear Algebra, Algebra

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