MATH341 Final: MATH341-07S-final
31 Jan 2019
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Please clearly erase or cross out irrelevant work; otherwise it will be part of the graded material. You must justify answers to receive full credit. There are 200 points total: (20 points) after its motor is shut o , a boat moves through the water and encounters a resistance proportional to the square of its speed. 4. (a) (15 points) find the general solution of the equations x . 2 = 2x1 + x2. (b) (15 points) find a particular solution of x . 1 = x1 2x2 + 4et, x . 2 = 2x1 + x2 2et: let a = 0 0 0 0 (a) (10 points) show that an = 0 for all n 4. (b) (15 points) find ea: (25 points) find the dimension of the subspace spanned by the vectors. 0: (30 points) factor the matrix . As xdx 1, for a diagonal d. (find all three.
