Book
Linear Algebra
Author
Gilbert Strang
Edition
def chck_posdef(A): if A[0,0]*A[1,1]>A[0,1]**2: print "positive definite therefore both +ve eigenvalues" else: print "not positive definite" A1=matrix([[5,6],[6,7]]) A2=matrix([[-1,-2],[-2,-5]]) A3=matrix([[1,10],[10,100]]) A4=matrix([[1,10],[10,101]]) chck_posdef(A1) out:not positive definite chck_posdef(A2) out:positive definite therefore both +ve eigenvalues chck_posdef(A3) out:not positive definite chck_posdef(A4) out:positive definite therefore both +ve eigenvalues
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