solve from transformation part! Let be a subset of the vector spaces S of all 2
ID: 2971140 • Letter: S
Question
solve from transformation part!
Let be a subset of the vector spaces S of all 2 times 2 matrices. Show that V is a subspace of S and find a suitable basis for V . If T:V rightarrow P3(X) is the linear transformation defined by the equation find the matrix A of this linear transformation with regard to the bases B for V found above and the basis B* = [1, x, x2, x3] for P3 (x), furthermore, using the relation [T(V)]B. = A[V]B obtain the components of the image of that is of with regard to the basic B. for the vector space p3 (x),finaly using these components find what is the Null space of the linear transformation? Is this linear transformation one-to-one? [ Yes . No].Explanation / Answer
A = [(a-b) (b-c) (c-d) (b+d)]
T([3 4 5 3]) = -1 -x + 2x^2 7x^3
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