ECON 5010 Midterm: ECON 5010 York w05 Midterm
Document Summary
A one page sheet of handwritten notes (on both sides) is allowed in the exam. If you need more space, use the back of a page. Let u = [1, 2] be a vector in r2. Find a non-zero vector v in r2 which is perpendicular (orthogonal) to u. Sketch u, v and u + v and calculate the area of the square with vertices [0, 0], u, v and u + v. Consider the following linear system in x1, x2, x3, x4. x1 + 2x2 3x3 + x4 = 1, 3x1 + 6x2 8x3 + x4 = 2. Write it in the form ax = b. Solve it by reducing the augmented matrix [a|b] to reduced row echelon form. Express the solutions as a set of vectors or points in r4. Let u = [1, 0, 1], v = [1, 2, 3] and w = [0, 1, 1] be vectors in r3.
