MATH 220 Midterm: MATH220 Washington State JustQs Midterm Math220 F13
Document Summary
Introduction to linear algebra (math 220, section 2) fall 2013. Wsu id: there are eight problems and six pages in this exam, show all work, provide appropriate justi cations where required, good luck! Total: (14) consider the following system of linear equations. x3 = 7. 9x3 = 0 x1 4x2 + 0. 5x3 = 3. 5x2 (a) write the system as a matrix equation. (b) write the system as a vector equation. (c) write the augmented matrix for the system: (14) let a = . It can shown that 4u 3v w = 0. Use this fact (and no row operations) to nd a solution to the system ax = b where. , x = (cid:20)x1 x2(cid:21) , and b = . 2: (12) construct a 3 3 matrix a with every entry non-zero such that the following vector b is in the span of the columns of a.
