Let T : P3 → P3 be the linear transformation such that T(-2а3) %3 За? + За, Т(-0.5а + 3) %— 322 + 4г — 1, Т(5а? + 1) — —Зг + 1. Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, and c are arbitrary real numbers. T(1) = 15/2x^2 + 9/2 x + 1 T(x) = -3/2 x^2 - 43/2x + 8 %3D T(x2) = -3/2 x^2 - 3/2x T(ax? + bx + c) = x^2((15c-3b-3a)/2) + x((9c - 43b - 3a)/2) + (8b +c)
Let T : P3 → P3 be the linear transformation such that T(-2а3) %3 За? + За, Т(-0.5а + 3) %— 322 + 4г — 1, Т(5а? + 1) — —Зг + 1. Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, and c are arbitrary real numbers. T(1) = 15/2x^2 + 9/2 x + 1 T(x) = -3/2 x^2 - 43/2x + 8 %3D T(x2) = -3/2 x^2 - 3/2x T(ax? + bx + c) = x^2((15c-3b-3a)/2) + x((9c - 43b - 3a)/2) + (8b +c)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
please solve the wrong answers on the paper
![Entered
Answer Preview
Result
15
9.
(15/2)*(x^2)+(9/2)*x+1
+
-x + 1
correct
2
(-3/2)*(x^2)-(43/2)*x+8
-3
2
43
-x + 8
incorrect
2
-3
3
(-3/2)*(x^2)-(3/2)*x
correct
-
2
9с — 43b — За
+ x
15с — 3b — За
(x^2)*[(15*c-3*b-3*a)/2]+x*[(9*c-43*b-3*a)/2]+8*b+c
+ 86 + c
incorrect
At least one of the answers above is NOT correct.
Let T: P3 → P3 be the linear transformation such that
T(-2а?) %— За? + Зӕ, Т(-0.5х + 3) — За2 + 4аг — 1, T(5а? + 1) —- 32 +1.
%3D
Find T(1), T(x), T(x2), and T(ax? + bx + c), where a, b, and c are arbitrary real numbers.
T(1) = 15/2x^2 + 9/2 x + 1
T(x) = -3/2 x^2 - 43/2x + 8
T(a² :
-3/2 х^2 - 3/2х
T(ax? + bx + c) =
х^2(15с-3b-За)/2) + x(9с - 43b - 3а)/2) + (8b +с)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05295cc1-71f0-4e3b-b6f8-2c1731c6d617%2F3d1cd751-ec3e-4279-92d2-e262d56c6ec7%2F579kv7r_processed.png&w=3840&q=75)
Transcribed Image Text:Entered
Answer Preview
Result
15
9.
(15/2)*(x^2)+(9/2)*x+1
+
-x + 1
correct
2
(-3/2)*(x^2)-(43/2)*x+8
-3
2
43
-x + 8
incorrect
2
-3
3
(-3/2)*(x^2)-(3/2)*x
correct
-
2
9с — 43b — За
+ x
15с — 3b — За
(x^2)*[(15*c-3*b-3*a)/2]+x*[(9*c-43*b-3*a)/2]+8*b+c
+ 86 + c
incorrect
At least one of the answers above is NOT correct.
Let T: P3 → P3 be the linear transformation such that
T(-2а?) %— За? + Зӕ, Т(-0.5х + 3) — За2 + 4аг — 1, T(5а? + 1) —- 32 +1.
%3D
Find T(1), T(x), T(x2), and T(ax? + bx + c), where a, b, and c are arbitrary real numbers.
T(1) = 15/2x^2 + 9/2 x + 1
T(x) = -3/2 x^2 - 43/2x + 8
T(a² :
-3/2 х^2 - 3/2х
T(ax? + bx + c) =
х^2(15с-3b-За)/2) + x(9с - 43b - 3а)/2) + (8b +с)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education