Question

Which of the following matrix is positive semi definite?

Answer 1

Answer:

....................

Step-by-step explanation:

i Don know it

Answer 2

Step-by-step explanation:

A positive semidefinite matrix is a Hermitian matrix all of whose eigenvalues are nonnegative.

Here

Solving. 3rd. we get

$\left[\begin{array}{ccc}3 - \lambda&0\\0& 5 - \lambda\\\end{array}\right] \\ \\ (3 - \lambda)( 5 - \lambda) = 0 \\ \\ on \: \: solving \: \: them \: \: \: we \: get \: \: \\ \\ \lambda = 3 \: \: or \: \: 5$

Here eigenvalues are positive hence C option is positive semi definite.

A and B option gives negative eigen values and D is zero.