Let L : R3[τ] → R2[τ] be a linear transformation, where the bases for the polynomial vector spaces R3[τ] and R2[τ] are (1,τ,τ2) and (1,τ) respectively. We also know the matrix representation for L is:
A=[2 0 1]
[0 1 3]
What is the result of L(α+βτ+γτ2)?
The Attempt at a Solution
is it safe to say that identity matrix forms a basis? I need help understanding this problem