This preview shows
page 1. Sign up
to
Homework 11, due
Friday November 18th
, in class
1.
For each of the following, find an invertible matrix
X
and a diagonal
matrix
D
such that
A
=
XDX
-
1
. In other words,
diagonalize
the matrix
A
.
1a.
A
=
5
6
-
2
-
2
1b.
A
=
1
0
0
-
2
1
3
1
1
-
1
1c.
A
=
1
2
-
1
2
4
-
2
3
6
-
3
2.
For each of the matrices in Question 1, compute
A
5
.
3.
For each of the matrices in Question 1, compute
e
A
.
4.
Can the matrix
A
=
4
4
-
1
0
be diagonalized? Why or why not?
5.
Can the matrix
A
=
2
2
3
0
5
6
0
-
2
-
2
This is the end of the preview.
Sign up
to
access the rest of the document.
- Fall '08
- Zhang
- Matrices, Diagonalizable matrix, English-language films, Diagonal matrix
-
Click to edit the document details
