MATH 4550: Applicable Geometry
Problem Set 5
Due at 2:54pm before class starts on February 28, 2013
You are allowed to work in groups, but the solutions you hand in should be written by you
only. If you work in a group, you must write the names of your co
MATH 4550: Applicable Geometry
Problem Set 1
Due at 2:54pm before class starts on January 31, 2013
You are allowed to work in groups, but the solutions you hand in should be written by you
only. If you work in a group, you must write the names of your col
be n elements of Rd written as column vectors. Prove that x1 , . . . , xn are anely
independent if and only if
1
1
x 1 ,1
x1,n
x1 = . , . . . , xn = .
.
.
.
.
xd,1
xd,n
are linearly independent in Rd+1 .
.
P5* (extra credit) Prove that there exists a
MATH 4550: Applicable Geometry
Problem Set 2
Due at 2:54pm before class starts on February 7, 2013
You are allowed to work in groups, but the solutions you hand in should be written by you
only. If you work in a group, you must write the names of your col
MATH 4550: Applicable Geometry
Problem Set 3
Due at 2:54pm before class starts on February 14, 2013
You are allowed to work in groups, but the solutions you hand in should be written by you
only. If you work in a group, you must write the names of your co
MATH 4550: Applicable Geometry
Problem Set 4
Due at 2:54pm before class starts on February 21, 2013
You are allowed to work in groups, but the solutions you hand in should be written by you
only. If you work in a group, you must write the names of your co