MATH 551 Midterm: MATH 551 KSU Test 1s06 a
15 Feb 2019
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Use the back page as a sketch paper. For full credit, show your work in detail. Find a basis of the column space sc of matrix a. (b. Find a basis of row space sr of matrix a. (c. 5pts). What is the dimension of null space n (a)? (d. 5pts). Let the set w = {[a + b + 2c, 2a + b + 3c, a + b + c]t}, for all possible a, b, c r. (i). Show that w is a subspace of r3. (ii) find a basis of the w . Find a basis of the null space n (a) Show that the set of elements {1, ex, e2x, e3x} are linearly independent. In the downtown section of a city, two set of one-way streets intersect as shown in the following gure. The average volume of tra c entering and leaving this section during rush hour is given in the digram. (1. )
