Numerical Analysis/Matrix norm exercises
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Consider the general matrix and the specific example .
Find
Solution:
given:
Solve for column 1:
Solve for column 2:
Solve for column 3:
= the maximum absolute column sum of the matrix
Find
Solution:
Solve for column 1:
Solve for column 2:
Solve for column 3:
Find the infinite norm,
Solution:
given:
Solve for row 1:
Solve for row 2:
Solve for row 3:
= the maximum absolute row sum of the matrix
Find the infinite norm,
Solution:
Solve for row 1:
Solve for row 2:
Solve for row 3:
Find the Frobenius norm,
Solution:
given:
Find the Frobenius norm,
Solution: