([::) - (a) Compute T 34 (b) Find T- ({1+6x + 4x}) = %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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{[::]
a b
3. Recall
M2(R) = { :
||a, b, c, d E R and P2 = {f(x) = ao + a1x + a2x² | ao, a1, a2 E R}.
%3D
%3D
c d
Consider the function
T: M2(R) → P2
be defined by
([::) -
a
= a + (bc)x + d.x2
c d
1 2
(a) Compute T
34
(b) Find T- ({1+6x+4.x}) =
Transcribed Image Text:{[::] a b 3. Recall M2(R) = { : ||a, b, c, d E R and P2 = {f(x) = ao + a1x + a2x² | ao, a1, a2 E R}. %3D %3D c d Consider the function T: M2(R) → P2 be defined by ([::) - a = a + (bc)x + d.x2 c d 1 2 (a) Compute T 34 (b) Find T- ({1+6x+4.x}) =
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