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Matrix Operations
1. Try the following commands (at the prompt and then press Enter ):
clear
M = [1,3,1,6;2,4,0,1;0,2,3,1;1,2,5,1]
det(M)
inv(M)
2. Repeat the above procedure for the matrix:
3. Multiply M and N using M * N. Can the order of multiplication be switched?
Why or why
not? Try it to see how MATLAB reacts.
4. Find the determinant and inverse of the following matrix:
5. Let B be the matrix obtained from A by rounding off to three decimal
places . Find the determinant
and inverse of B. How do A^{1} and B^{1} differ? Explain how this happened.
6. Prepare a brief (< 1 page) written report describing what happened and
answering all the
questions. Writing quality will play a part in your grade.
This exercise introduces some basic matrix operations , the importance of
matrix dimensions,
and numerical sensitivity .
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