MATH 221 Midterm: MATH 221 2009 Winter Test 1

• School: UBC
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

Answer all 12 questions on the sheets provided - use the backs of the sheets and blank sheets at the end of the test if necessary. Rules governing examinations: each candidate must be prepared to produce, upon request, a. Consider the system of equations: x3 = 2 x1 + x2 x1 + 2x2 + x3 = 3 x1 + x2 + (c2 5)x3 = c. Find all values of c such that the system has: no solutions, a unique solution, in nitely many solutions. In case c. write the general solution in the parametric vector form. 350: find a system of 3 equations in 3 variables that describes this model, the system is clearly inconsistent because the total infolw does not equal total out ow. Find all least squares solutions to the system. Let w be the subspace of r3 spanned by ~w1 and ~w2, where. Let t : r3 r3 be the re ection across w .