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## Homework Statement

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,τ

^{2}) 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+γτ

^{2})?

## The Attempt at a Solution

is it safe to say that identity matrix forms a basis? I need help understanding this problem