Course Solutions Uncategorized (Solved) : B Consider Vector Space Symmetric 2 X 2 Matrices Subspace M22 R A11 A12 A21 A22 A12 421 Gi Q32967188 . . . .

(Solved) : B Consider Vector Space Symmetric 2 X 2 Matrices Subspace M22 R A11 A12 A21 A22 A12 421 Gi Q32967188 . . . .

 

b) Consider the vector space of symmetric 2 x 2 matrices which is a subspace of M22(R) a11 a12 a21 a22 : a12 421 You are given that an ordered basis for V takes the form 1 0 0 1 0 0 0 01 00 1 i) Find the coordinates of the matrix A - with respect to the ordered basis B ii) Show that the set 2 0 0 1 1 1 0 11 01 0 also forms a basis for V iii) Denoting C as an ordered basis for V, find the change-of-basis matrix Pe-B- iv) Using your answers to(i) and (iii), compute the coordinates of the matrix A with respect to the ordered basis C

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