MATH 240 Midterm: MATH 240 NIU Test2sample
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Sample questions for exam 2 on 10/26/2007: let a be the following matrix. A = (a) find the reduced row echelon form of a. 1 (a) let w be the set of all matrices a in m22 such that aq = 0. Prove that if a is a nonsingular n n matrix, then the vectors {av1, av2, av3} are linearly independent in rn: find det(a) by row-reducing a to an upper triangular matrix, for the matrix a = = (x 1)(x 2)(x 3): suppose that a and b are similar matrices. Explain why det(a) = det(b): find the adjoint of a = b a c.
