http://www.ck12.org Chapter 8. Systems and Matrices
-
(^232435465)
3 2^533275
(^45227485)
5 3^73295
- While the identity matrix does technically work for all the parts of this problem, it does not highlight the
differences between each definition. Here are possible answers.
a. Diagonal Matrix
4 0 0
0 3 0
0 0 5
b. Lower Triangular
4 1 1
0 3 14
0 0 5
c. Symmetric
4 1 1
1 3 14
1 14 5
d. Identity
1 0 0
0 1 0
0 0 1
Practice
State the order of each of the following matrices:
1.A=
[4 2 4 7
5 2 1 0
]
2.B=
[ 0 1
34 1
]
3.C=
2 62
14 3
4 3
1 11
4.D=
12 0 2
0 3 3
4 0 1
1 4 0
5.E=[1 11]
- Give an example of a 1×1 matrix.
- Give an example of a 3×2 matrix.
- If a symmetric matrix is also lower triangular, what type of matrix is it?