Linear Combination Worksheet - Math 205 B And C
ADVERTISEMENT
1Math 205B&C Quiz 01 page 1 01/23/09
Name
Section: 8am
1:10 pm
1
1
2
5
6
, v
, v
. Also, let b =
and c =
.
1. Let v
=
3
=
1
=
7
11
10
1
2
3
2
0
5
5
4
1A. In terms of the definition, explain what it means to ask, “is b a linear combination of v
, v
, and
1
2
v
?” Your answer should start with, “are there scalars α
. . . ”.
3
1
1B. Now, determine if b actually is a linear combination of v
, v
, and v
. Explain how you decide.
1
2
3
1C. To determine if c is in the span of {v
, v
, v
} is equivalent to solving what system of linear
1
2
3
equations?
1D. Find all solutions to the system produced in part (C).
1E. What specific solution do you get if you set any and all free variables in part (D) to the number 2?
Verify that your solution works by evaluating the corresponding linear combination of v
, v
, and v
1
2
3
ADVERTISEMENT
0 votes
Related Articles
Related forms
Form Ct-3-a/att - Schedules A, B, And C - Attachment To Form Ct-3-a - General Business Corporation Combined Franchise Tax Return - New York State Department Of Taxation And Finance - 2012
Financial
Related Categories
Parent category: Education