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Matlab Quiz # 3
MTH 510 - Section 8 - Fall 2019
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(To be done with the help of Matlab)
1. Consider the matrix




A = 

8 −1 1
1
−2
5 1 −1 


−1
2 4
0 
2
1 4
2
(a) Write down the commands that can be used in Matlab to find the eigenvalues of A2 .
(b) Type your commands from (a) in Matlab and write down the eigenvalues of A2 here.
(c) Write down the commands that can be used in Matlab to find the Frobenius norm
of A, as well as the condition number based on the Frobenius norm.
(d) Recalling that the condition number of a matrix A is defined as
cond(A) = norm(A) norm(A−1 )
find the condition number of A based on the spectral norm using the norms of A and A−1 .
Write down the values of both norms here, as well as the corresponding condition number.