M340L:
Matrices and Matrix Calculations
Unique Number: 57160
Practice Final , April, 2006
I don’t know how much of chapter 6 will be studied by the end of next week. This
already gives an idea of what might be the main part of your final, but expect a problem
on chapter 6.
Before the final exam I’ll add another Practice Final.
For the Final I may feel free to assign a problem without offering a very close one in
the practice final, in particular some homework style problems.
I’ll post the solutions during the weekend.
I.
Let
A
=
1
3
2
1
1
0
1
1
0

1

1
0
1
2
1
0
1
1
2
3
1
2
2
3
.
1) What is the domain of
A
? What is the codomain of
A
? (3points)
2) Give an echelon form for
A
. Give the reduced echelon form of
A
.
3) Is the mapping
T
:
x
7→
A
x
onetoone?
Is it onto? (Justify your answers, Yes or No is not acceptable)
4) Without further calculation give the Rank of
A
and the dimension of the null space of
A
. (Justify your answers.)
5) Determine a basis for the column space of
A
.
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 Spring '11
 SECKIN
 Linear Algebra, Matrices, basis, Definition., Standard basis, 3pts

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