MATH-205 Midterm: Bates MATH 205 032604ross205exam
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Consider the following matrices a and corresponding reduced row echelon form arref : 1d) find a basis for row arref . 1e) find a basis for nul arref . 1f) find a basis for col arref . March 26, 2004: consider the set b = {b1, b2} where b1 = 2a) explain why b cannot be a basis for r3. 2d) expand b to a basis b of r3. Initials: let h be the subspace of r4 consisting of all vectors of the form v = 3a + 4b + 10c + 4a + 4b + 5c where a, b, c, and d are arbitrary. Find a basis for h. be very careful to make sure you have a basis: suppose t : p4 p4 is the linear transformation satisfying t (p(x)) = the second derivative of p(x). Be the change of basis matrix from some basis b to.
