Question: Question 03: (a)Determine whether the set S = {(1, 0), (0, 1), (-2,5)} is linearly dependent or linearly independent. (b) Let denote the set of

Question 03: (a)Determine whether the set S = {(1, 0), (0,

Question 03: (a)Determine whether the set S = {(1, 0), (0, 1), (-2,5)} is linearly dependent or linearly independent. (b) Let denote the set of polynomials of degree less than or equal to two. The set S = { 1,x,x? } form a base for P2 space. P2 Answer: Question 04: (a) Define characteristic polynomial and characteristic equation. (b) Find eigenvalues and eigenvectors of A 4 0 1 A = -2 o 1 -2 0

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