Question

Which of the following matrix is positive semi definite?

Answer 1

Answer:

If the matrix is symmetric and vT Mv > 0, ∀v ∈ V, then it is called positive definite. When the matrix satisfies opposite inequality it is called negative definite. The two definitions for positive semidefinite matrix turn out be equivalent.

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Answer 2

Step-by-step explanation:

symmetric matrix

A symmetric matrix is positive semidefinite if and only if its eigenvalues are nonnegative.

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