Let S22 be the vector space of 2 Ã 2 symmetric matrices. Build the matrix representation of

Question:

Let S22 be the vector space of 2 Ã— 2 symmetric matrices. Build the matrix representation of the linear transformation T: P2 †’ S22 relative to the bases B and C and then use this matrix representation to compute T (3 + 5x - 2x2).
B = (1, 1 + x, 1 + x + x2}