MATH 291 Midterm: MATH 290 Drexel prac ex 2
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Second exam is on thursday, may 25, 2006, 8:00 am 8:50 am. For students in section a (11 12:20 lecture), go to nesbitt 111. For students in section b (9:30 10:50 lecture), go to nesbitt 125: determine whether the given subset of r3 is a subspace or not. If it is a subspace, determine its dimension. ( h2 is the solid unit sphere in r3. ) a b. : a, b, c are real nos. (a) h1 = (b) h2 = . 3 1 : let a be the following matrix: a = x1 x2 x3. Suppose that the following relations hold: c1 = b1 + 2b2 + 3b3, c2 = b1 + b2, and c3 = b2 + 4b3. Compute the following determinant: det(a 2b3a3). (note: a 2 = (a 1)2 = (a2) 1. : let a be a 3 3 matrix with det a = 2.
