Let T: P₂ → P₂ be a mapping defined by T(a + a₁x + a₂x²) = a₁ + a₁(x + 1) + a₂(x + 1)². (a) Determine whether T is linear or not. (b) Find the nullity and rank of T. 1.1.
Let T: P₂ → P₂ be a mapping defined by T(a + a₁x + a₂x²) = a₁ + a₁(x + 1) + a₂(x + 1)². (a) Determine whether T is linear or not. (b) Find the nullity and rank of T. 1.1.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 10EQ: In Exercises 1-12, determine whether T is a linear transformation. T:FF defined by T(f)=f(x2)
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