Search:
Advanced Search
User ID:
Password:
Forgot Login Details?
Home
Math Dictionary
HomeWork Help
Elementary Math
Middle school Math
High School Math
Solved Examples
Home WorkHelp Archive
Math Articles
Math Formulae
FeedBack
This Site is best viewed in Internet explorer6.0+ and FireFox.
Solved Examples
Curriculum:
Arizona Academic Content Standards
Click to change Curriculum
Topic:
Matrices and Determinants
Click to change Topic
Lesson:
3.3.PO 13: Identity and Inverse Matrices
Click to change Lesson
<<Previous
<<Back to List>>
Next>>
Attempt following question by selecting a choice to answer.
e
Find the inverse of the matrix
P =
(
4
2
3
3
)
.
BBB eee
A.
e
(
3
- 2
- 3
4
)
B.
e
[
1
2
- 1
3
- 1
2
2
3
]
C.
e
(
1
- 3
- 2
4
)
D.
e
[
1
6
- 1
4
- 1
2
2
3
]
ee
B
View Solution Steps
Step 1: P =
[
4
2
3
3
]
Step 2:
a
d
-
b
c
= (4)(3) - (3)(2) = 6[Determinant of the matrix P.]
Step 3: Since
a
d
-
b
c
≠ 0, the inverse of P exists.
Step 4: P
- 1
=
1
6
[
3
- 2
- 3
4
]
[Use the formula P
- 1
=
1
a
d
-
b
c
[
d
- b
- c
a
]
.]
[Use the formula P
- 1
=
1
a
d
-
b
c
(
d
- b
- c
a
)
.]
Step 5:
[
1
2
- 1
3
- 1
2
2
3
]
Request for Email
* Please give a valid email id.
* Log into the site atleast once.
Enter your Mail Id: