I am really struggling with this matrix problem because I don't understand how to do these two problems can you do this step by step using the matrix form so I can understand it 1. Let T : P, → P, be defined by T (p(x)) = x² dрdx²the standard basis of P3.2. Suppose that we are given the following information about a linear transformation0600Find, if possible. If not possible, state why.-0b) TDT-611-5-14= x³ - 3x,Find the matrix of T relative tox²+2x+1,=x-2.

According to Bartleby guidelines, I can do first question only among multiple number of questions.…

1. Let T : P, → P, be defined by T (p(x)) = x²d²p. Find the matrix of T relative to the standard basis of P3. 2. Suppose that we are given the following information about a linear transformation 1 -10 Find, if possible. If not possible, state why. -HED a) T b) T -6 11 -14 =x²-3x, = x² + 2x+1, 3 18 =x-2.

1. Let T : P, → P, be defined by T (p(x)) = x²d²p. Find the matrix of T relative to the standard basis of P3. 2. Suppose that we are given the following information about a linear transformation 1 -10 Find, if possible. If not possible, state why. -HED a) T b) T -6 11 -14 =x²-3x, = x² + 2x+1, 3 18 =x-2.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I am really struggling with this matrix problem because I don't understand how to do these two problems can you do this step by step using the matrix form so I can understand it

1. Let T : P, → P, be defined by T (p(x)) = x² d
р
dx²
the standard basis of P3.
2. Suppose that we are given the following information about a linear transformation
0
6
0
0
Find, if possible. If not possible, state why.
-0
b) T
D
T
-6
11
-5
-14
= x³ - 3x,
Find the matrix of T relative to
x²+2x+1,
=x-2.

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