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Is this 2x2 matrix positive definite or positive semi definite? and why?
[6 0]
[0 14]
1 Answer
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- TomVLv 72 years ago
{a b} M {a b}^T
= {6a 14b} {a, b}^T
= 6a² + 14b²
which is greater than zero for all non zero vectors {a b}^T
Ans: The matrix is positive definite since <V>^T[M]<V> is greater than zero for all non-zero vectors <V>
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