MATH 551 Midterm: MATH 551 KSU Test 1s03

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

Document Summary

Show all your work in the space provided under each question. Each problem is worth 10 points: indicate each set on a graph, and clearly label any vertices or intercepts of the. Gures you draw: {(2, 1) + t( 3, 3) : t r, {t(1, 1) : t > 0} page 2 of 10, in r2 let a = ( 1, 1). Give a geometric description of the set of all vectors b in. Explain: find the nullspace of the matrix a = 1 0 3 0 page 5 of 10 page 6 of 10: suppose {x, y} are a basis for a subspace w of a vector space v . Prove that u = x + y and v = x y are also a basis for w : find a basis for the columnspace of the matrix a = page 7 of 10.