Mathematics 33A, Practice Midterm, November 2, 2009.
Calculators, books, or notes of any kind are not allowed on the exam.
There are 12 items on this practice exam altogether, and they all have equal value. Answer
as many of them as you can in
50 minutes
. You must show your work in all questions.
The questions are not always arranged in order of diFculty. Look through them when you
start so you get an idea of the time you’ll need. If you’re not sure what to do on an item
then move onward and return to it later.
After taking the practice test, grade yourself as follows: ±or each fully correct answer give
yourself 5 points. ±or a score at the A range you should aim to have fully correct answers
for at least 9 questions, within the allotted 50 minutes.
Good luck.
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View Full DocumentQuestion 1.
Find the coordinates of
2
2
2
with respect to the basis
1
0
0
,
1
0
1
,
3
2
0
.
Question 2.
Find an orthonormal basis for
span
{
1
0
0
0
,
0
1
0
0
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 Spring '08
 lee
 Math, Linear Algebra

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