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In: Advanced Math

L: P3 → P1 is a linear mapping and L (g (t)) is the remainder of...

L: P3 → P1 is a linear mapping and L (g (t)) is the remainder of g (t) divided by t ^ 2 + t - 2.

1. Assume that the matrix A = [L] BB` representing the mapping L when the ordered basis of P3 is B = {t, t ^ 3, t ^ 2} and the oredered basis B of P1 = {1, t} Please.

2. Find the nullity of matrix A from above.

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