MATH 232 Final: MATH232 MATH232 FinalD

273 views10 pages

Document Summary

For each of the statements below, decide if it is true or false and. Correct answers earn 1 point, incorrect answers earn -1/2 point and blank answers are worth 0 points. You do not need to justify your answer. The vectors v1 = (1, 2, 0, 2), v2 = (0, 1, 0, 1), and v3 = (3, 0, 3, 0) form an orthogonal set. A linear system with more unknowns than equations is always inconsistent. The product of two elementary matrices is an elementary matrix. The vector w = (2, 3, 2) can be expressed as a linear combination of the vectors v1 = (1, 0, 1) and v2 = (0, 1, 0). If b is a nonsingular 2 2 matrix and ab = 2i, then det(a) = The eigenvalues of a matrix are the same as the eigenvalues of its reduced row echelon form. The composition of two rotations of r2 is a rotation of r2.