Question: 3. (3 points) Find the value(s) for k such that the following vectors form a linearly dependent set. 1 2 1 0 , 3 ,

3. (3 points) Find the value(s) for k such that the following vectors form a linearly dependent set. 1 2 1 0 , 3 , 2 k k 2 4. Consider the matrix 2 1 7 3 8 A = 1 0 2 4 9 2 2 2 1 8 (a) (3 points) Find the null space for A. (b) (I point) Find the rank of A. MATH 1350 Test 4 - Page 4 of 4 3/6/2021 5. (a) (4 points) Determine whether v = CT CT - belongs to span(W) where W If it does, express v as a linear combination of those three vectors, if not then show why.(b) (2 points) Is W a basis for R4? If we add the vector v to the set W will that be a basis? (justify your answer)

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