[11 4 0 9 3. Consider the linear map : R3 + R2 given by (X). AX, X E R3, where -1 2 A = Denote by : Bilin(R2) + Bilin(R3) the map defined in the file Bilinear Forms and given by [` (B)](X,Y) = B(6(X), 6(Y)), for all bilinear forms B on R2, X,Y E R3; here Bilin(V) is the set of bilinear forms on a vector space V. (a) (5 points) Compute the explicit formula for the bilinear form (B1). (b) (2 points) Compute the matrix A3 of (B1) w.r.t. the standard basis E {ei, C2, C3} for R3. [11 4 0 9 3. Consider the linear map : R3 + R2 given by (X). AX, X E R3, where -1 2 A = Denote by : Bilin(R2) + Bilin(R3) the map defined in the file Bilinear Forms and given by [` (B)](X,Y) = B(6(X), 6(Y)), for all bilinear forms B on R2, X,Y E R3; here Bilin(V) is the set of bilinear forms on a vector space V. (a) (5 points) Compute the explicit formula for the bilinear form (B1). (b) (2 points) Compute the matrix A3 of (B1) w.r.t. the standard basis E {ei, C2, C3} for R3