7. Use coordinate vectors to determine if the set ( 1+t', -t + t' + 2t',2-t + 3t' + 2t', 1+ t+ t' + t ) forms a basis for P3. Justify your answer. 91 1 8. The eigenvalues of A = 1 9 1 , including repetition, are 1 =8 and 2 =11. Diagonalize A 1 1 9 [just find P and D, don't worry about P-], or explain why it can't be diagonalized.9. Consider the vectors V, = 0 , and V. = -2 , which are orthogonal vectors. a. Express X = as a linear combination of v1 , v,; and v; . b. Use v ; v,, and v, to produce an orthonormal basis for R