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A symmetric matrix is called ____________, if all its Eigen values are strictly positive i.e., greater than zero.

a) Negative definite
b) Positive definite
c) Co- definite
d) Alternative definite

Answer: b
Explanation: If all Eigen values of symmetric matrix are positive then the matrix is called as positive definite matrix. A symmetric matrix A of dimension (n x n) is positive definite if, for any non zero vector x = [x1 x2 x3…… xn]T. That is xT Ax > 0.

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