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Apply any three tests to each of the matrices A = 1 1 1 1 1 1 1 1 0 and B = 2 1 2 1 1 1

Chapter 6, Problem 6.2.32

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QUESTION:

Apply any three tests to each of the matrices A = 1 1 1 1 1 1 1 1 0 and B = 2 1 2 1 1 1 2 1 2 , to decide whether they are positive definite, positive semidefinite, or indefinite.

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QUESTION:

Apply any three tests to each of the matrices A = 1 1 1 1 1 1 1 1 0 and B = 2 1 2 1 1 1 2 1 2 , to decide whether they are positive definite, positive semidefinite, or indefinite.

ANSWER:

Step 1 of 4

The given matrix is .

Here, matrix  is square symmetric matrix. Now, calculating the leading principal sub-matrices of :

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