Book
Linear Algebra
Author
Gilbert Strang
Edition
def chck_posdef1(C): s="pos" i=0 while i<len(C.rows()): ci=C[:i+1,:i+1] if det(ci)>0: i=i+1 else: s="not pos" break print s A1=matrix([[2,-1,-1],[-1,2,-1],[-1,-1,2]]) chck_posdef1(A1) out:not pos A2=matrix([[2,-1,-1],[-1,2,1],[-1,1,2]]) chck_posdef1(A2) out:pos A3=matrix([[0,1,2],[1,0,1],[2,1,0]]) A4=A3*A3 chck_posdef1(A4) out:pos
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