MATH 240 Final: MATH240 fall2005 Final math232
31 Jan 2019
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Give the augmented matrix of the linear system which results from the matrix equation at a x = at b. The augmented matrix of the associated linear system is thus (cid:18)1 1 0. [2: (a) give an example of a 3 4 matrix a1 in row echelon form such that. A1x = b1 has a solution for every b1 r3. There is a pivot entry in every row so the linear. 0 0 1 0 system a1x = b1 has a solution for every b1 r3. The solutions to a1x = b1 are not unique as the dimension of the null space of a1 is 1. Let a2 = (c) give an example of a 3 4 matrix a2 in row echelon form and vectors b2, b 2 r3 such that a2x = b2 does not have a solution, whereas. , the linear system a2x = b2 has a solution, namely x = 0.
