MATH 337 Final: MATH 337 NJIT Math337prac Final s2011

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 337
• Professor: All

Document Summary

2)(15 points) a) let a = [v1v2v3v4], where v1 = (2, 3)t , v2 = (0, 4)t , v3 = ( 3, 2)t , v4 = (1, 2)t . Do not compute p 1: using part c), compute det(a). Justify your answer: (15 points) a) write down of the matrix a corresponding to the quadratic form q(x) = x2. 1 + 2x1x2 + 2x1x3: is q positive de nite, negative de nite, or inde nite, orthogonally diagonalize a and nd 2a5 and det(2a5).