Hi, How can I check this quadratic matrix's definiteness subject to constraint D? Thank you very much. Ex231-1-1 220Any336.300123 41=103.233030Thentocheck theirwe needdefinitenessEx

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Description: Hi, How can I check this quadratic matrix's definiteness subject to constraint D? Thank you very much. Ex231-1-1 220Any336.300123 41=103.233030Thentocheck theirwe needdefinitenessEx

Given matrix is A=1-100-122002330030 To check whether the given matrix is definite or not, will…

Answered: Ex -1 2 220 Any 3.3 D. 16. 30 10123 L…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hi,

How can I check this quadratic matrix's definiteness subject to constraint D?

Thank you very much.

Ex
23
1-1
-1 220
Any
33
6.
30
0123 4
1=10
3.
233
030
Then
to
check their
we need
definiteness
Ex

Expert Solution

Step 1

Given matrix is

$A = [\begin{matrix} 1 & - 1 & 0 & 0 \\ - 1 & 2 & 2 & 0 \\ 0 & 2 & 3 & 3 \\ 0 & 0 & 3 & 0 \end{matrix}]$

To check whether the given matrix is definite or not, will find the determinant for different order of matrix and check its sign is positive.

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