Math 304
Quiz #5B - Solutions
Sections 3.5,3.6
1. [6 pts] Calculate the transition (change of basis) matrix from the standard basis
[1, 0, 0]T , [0, 1, 0]T , [0, 0, 1]T to the basis cfw_[3, 3, 2]T ,
Math 304
Quiz #6B - Solution
Sections 4.3
1. [15 pts] Let A be the matrix representing L with respect to the standard basis in R3 ,
where
331
A= 3 2 2
113
Find the matrix B representing L with respec
Math 304
Quiz #7B
Sections 5.1,5.2
1. [8 pts] Use vector projection to nd the distance of the point (3,2,1) to the plane
2x + 2y + z = 0.
Solution: The distance is given by the length of the scalar pr
Math 304
Quiz #8B - Solution
Sections 5.3,5.4
1. [8 pts] Find the best quadratic least squares t to the data
x
y
0
0
1
-1
2
2
3
5
4
10
Solution: The matrix A is given by
A=
1
1
1
1
1
00
11
24
39
4 16
Math 335, Chapter 2
Name_
Glossary
1 11 determinant
CWID_
Page
8th
Edition
9th
Edition
84
87
Content
If A = (a) is a 1 x 1 matrix, thus det(A) = a
then A
will be nonsingular only if det(A) 0
2 22 det
Name_ _
Glossary
Page
8th Edition
9th
Edition
Linear equations and linear
systems
1
1
2 Solutions to linear systems
2
2
3 Consistent systems
2
2
4 Inconsistent systems
2
2
5 Equivalent systems
3~5
3~5
Name_
ELVIS ONDEGO_
CWID_
Page
Glossary
8th
Ed
1 Linear transformation
2
Equivalent definition
linear transformation
Let
16
6
169
16
7
170
16
8
171
Content
Let V and W to be two vector spaces,L
is sai