MATH 551 Midterm: MATH 551 KSU Test 1f00

• School: Kansas State University
• Department: Mathematics
• Course: MATH 551
• Professor: All

Document Summary

Show all your work in the space provided under each question. 10 points: solve (using gaussian elimination - show your steps) the system of equations. x + 2y 3z = 1. 5x + 3y 5z = 2: solve the system of equations. x + y z = 0 x + 2y + z = 0. 3x + 4y z = 0: let s = {p(x) : p(x) is a polynomial of degree 2 and p(1) = 0}. Show that s is a subspace of p2 = the set of polynomials of degree 2. page 2 of 5: find a basis for the nullspace of a = (cid:20) 1 2 3. 0 4 6 (cid:21: given that a = (cid:18) 1. , nd ax. page 4 of 5: the matrices below form a spanning set for some subspace of m (3, 1). Find a basis for this subspace and its dimension.