a. Sketch the Gershgorin disks for the matrix 2 -1 A = -2 -10 -1 -1 4 and give a bound for the spectral radius, p(A). b. Determine an upper and lower bound for p(A), using ||A||1, where 1 1 A = 1 4 0 0 0 3 and then repeat using Gershgorin's Theorem.

Algebra and Trigonometry (MindTap Course List)
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Chapter11: Matrices And Determinants
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Question
4
5.2.37
a. Sketch the Gershgorin disks for the matrix
2
-1
A =
-2
-10
-1
-1
4
and give a bound for the spectral radius, p(A).
b. Determine an upper and lower bound for p(A), using ||A||1, where
1
1
A =
4
3
and then repeat using Gershgorin's Theorem.
Transcribed Image Text:5.2.37 a. Sketch the Gershgorin disks for the matrix 2 -1 A = -2 -10 -1 -1 4 and give a bound for the spectral radius, p(A). b. Determine an upper and lower bound for p(A), using ||A||1, where 1 1 A = 4 3 and then repeat using Gershgorin's Theorem.
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