la + (-1) b + (-1) c + 4d + 7e 2a + (-1) b + 0c + 5d +9e et T(a + bx + cx² + dx³ + ex¹) = -7a+ 4b+1c + (-19) d + (-34) e 2a + 0b + 3c + 1d + 3e la + 1b +5c+(-3) d + (-3) e en a basis for (Range(T)) would be:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.6: Squares Of Binomials
Problem 57WE
icon
Related questions
Question
la + (−1) b + (−1) c + 4d + 7e
2a + (-1) b + 0c + 5d +9e
2) Let T(a + bx + cx² + dx³ + ex4) = -7a+ 4b + 1c + (-19) d + (-34) e
2a + 0b + 3c + 1d + 3e
la + 1b +5c+(-3) d + (-3) e
Then a basis for (Range(T)) would be:
2
Transcribed Image Text:la + (−1) b + (−1) c + 4d + 7e 2a + (-1) b + 0c + 5d +9e 2) Let T(a + bx + cx² + dx³ + ex4) = -7a+ 4b + 1c + (-19) d + (-34) e 2a + 0b + 3c + 1d + 3e la + 1b +5c+(-3) d + (-3) e Then a basis for (Range(T)) would be: 2
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College