Matrix and Numerical Methods in Systems Engineering
ESI 4327

Spring 2015
Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering
Homework Assignment 5
Problem 1
Compute the determinants of the following matrices
1 1
1 1
1 1 1
1 0 2
1 1 0
1 1
0
1
0
1
1
1
2
0 1 1
1
1
1
1
Problem 2
Write a MATLAB function na
Matrix and Numerical Methods in Systems Engineering
ESI 4327

Spring 2015
Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering
Homework Assignment 4
Problem 1
Show that L1 , L2 and L are norms.
Answer: A norm must satisfy the following conditions (assume x, y Rn ):
1. x 0:
n
i=1 xi . Since by denition
Matrix and Numerical Methods in Systems Engineering
ESI 4327

Spring 2015
Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering
Homework Assignment 4
Problem 1
Show that L1 , L2 and L are norms.
Problem 2
Find L1 , L2 and L projections of [3 4] onto span [2 1]
.
Problem 3
Find the following projections:
[