M341, Fall 07, 60180.
Midterm 2, November
5
th
.
First Name
.........................
Last Name (PRINT)
...............................

Calculators are authorized.
Books, hand written notes or other documents
are not authorized.
 Show all your work.
If you use a calculator, you are not waived of the
intermediary computations that are still to be shown.
 Explain every answer, either by a computation, or by using a theorem. Cor
rect results with no explanation will not be taken into account.
 Freely use both sides of the sheets.
 Put your name on any additional or unstapled sheet.
 Good Luck.
Problem 1.
1)
Compute the determinant of the matrix:
A
=
3
2

1
1
6
3
2

4
0
.
Is
A
invertible and why?
2)
What is the adjoint or adjugate matrix of
A
? (Show all your work. A correct expla
nation of what is a cofactor and what is the adjoint matrix will redeem small computational
mistakes.)
What is the inverse of
A
?
3)
Compute the inverse of
A
by a row reduction method.
Depending on the length of the midterm, I may ask the computation by only one
method. In that case I may or may not give you the choice of the method.
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 Spring '08
 HIETMANN
 Linear Algebra, Matrices, ........., Cramer

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