PLEASE HELP Determine whether the following matrices are po

PLEASE HELP !!!!

Determine whether the following matrices are positive definite, negative definite or indefinite. [3 4 4 1] [1 2 1 2 1 1 1 1 2]

Solution

Here\' the answer to the question:

We will decide this using the determinant value of the matrix

det|A| = 3*1-4*4 = 3-16 = -13<0, which is negative definite

det|B| = 1(1*2 - 1*1) -2(2*2-1*1) +1(2*1-1*1) = -4<0 negative definite