Prove that if B is symmetric, then |B| is the largest eigenvalue of B.

ankarskogC 2021-01-06 Answered
Prove that if B is symmetric, then B is the largest eigenvalue of B.
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Expert Answer

SkladanH
Answered 2021-01-07 Author has 80 answers
Step 1
Calculation:
To find the norm of the matrices:
a)(4013)
The 1-norm is A1=max1jn(i=1n|aij|)
Using the above formula
A1=max(4+1,0+3)
=max(5,3)
=5
Step 2
b)(5333)
Using the formula , we get
A1=max(5+3,3+3)
=max(8,6)
=8
Step 3
c)(123002310231)
Using the formula , we get
A1=max(1+0+0,23+23+23,0+1+1)
=max(1,63,2)
=63
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