Math, asked by Srikarchintu4213, 1 year ago

Define positive definite, negative definite and indefinite.

Answers

Answered by Saykasayyed
2
Definite, Semi-Definite and IndefiniteMatrices. ... Definition: Let be an symmetric matrix, and let for . Then: a) is said to be Positive Definite if for . b) is said to be Negative Definite if for odd and for even .


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Saykasayyed: ur wlcm
Answered by ItZzMissKhushi
0

Answer:

positive definite if x'Ax > 0 for all x ≠ 0. negative definite if x'Ax < 0 for all x ≠ 0. positive semidefinite if x'Ax ≥ 0 for all x. negative semidefinite if x'Ax ≤ 0 for all x. indefinite if it is neither positive nor negative semidefinite (i.e. if x'Ax > 0 for some x and x'Ax < 0 for some x).

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