Let V = Poly, be the vector space of polynomials of degree 1 or less and let W = Poly, be the vector space of polynomials of degree 2 or less Laat V = Poly, die vektorruimte van polinome van graad 1 of minder wees en laat W = Poly, die vektorruimte van polinome van graad 2 of minder wees. Suppose that T :V → W is a linear map satisfying / Veronderstel dat T: V → W 'n lineêre afbeelding is wat bevredig: T ((0+1æ)) = (-2+ 2¤ + (–2)²), T ((-1+læ)) = (-1+ l +(-1)x²), Find the value of / Bereken die waarde van T ((2+(-1)æ)). Write down the values below if the answer is / Skryf die waardes hier onder neer as die antwoord is: (a1 (a2)x + (az)æ²) a1 = a2 = Az =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
icon
Related questions
Question
Let V = Poly1 be the vector space of polynomials of degree 1 or less and let W = Poly, be the vector space of
polynomials of degree 2 or less
Laat V =
Poly, die vektorruimte van polinome van graad 1 of minder wees en laat W = Poly, die vektorruimte van
polinome van graad 2 of minder wees.
Suppose that T :V → W is a linear map satisfying / Veronderstel dat T : V → W 'n lineêre afbeelding is wat bevredig:
T (0+1æ)) = (-2+ 2æ + (-2)æ²), T ((-1+læ)) = (-1+ la + (-1)a²),
Find the value of / Bereken die waarde van
T (2+ (-1)æ)).
Write down the values below if the answer is / Skryf die waardes hier onder neer as die antwoord is:
(a1 + (a2 )æ + (as )æ?)
aj =
a2 =
az =
Transcribed Image Text:Let V = Poly1 be the vector space of polynomials of degree 1 or less and let W = Poly, be the vector space of polynomials of degree 2 or less Laat V = Poly, die vektorruimte van polinome van graad 1 of minder wees en laat W = Poly, die vektorruimte van polinome van graad 2 of minder wees. Suppose that T :V → W is a linear map satisfying / Veronderstel dat T : V → W 'n lineêre afbeelding is wat bevredig: T (0+1æ)) = (-2+ 2æ + (-2)æ²), T ((-1+læ)) = (-1+ la + (-1)a²), Find the value of / Bereken die waarde van T (2+ (-1)æ)). Write down the values below if the answer is / Skryf die waardes hier onder neer as die antwoord is: (a1 + (a2 )æ + (as )æ?) aj = a2 = az =
Let V = Row, be the vector space of 2-dimensional row vectors and let W = Col3 be the vector space of 3-dimensional
column vectors
Laat V = Row, die vektorruimte van 2-dimensionele ryvektore wees en laat W =
Colz die vektorruimte van 3-
dimensionele kolomvektore wees.
Suppose that T :V → W is a linear map satisfying / Veronderstel dat T : V → W 'n lineêre afbeelding is wat bevredig:
T ([1,0))-
т (0, 1) -
1
-1
2
Find the value of / Bereken die waarde van
T ((-1, 2)).
Write down the values below if the answer is / Skryf die waardes hier onder neer as die antwoord is:
a2
az
a, =
a2 =
az =
Transcribed Image Text:Let V = Row, be the vector space of 2-dimensional row vectors and let W = Col3 be the vector space of 3-dimensional column vectors Laat V = Row, die vektorruimte van 2-dimensionele ryvektore wees en laat W = Colz die vektorruimte van 3- dimensionele kolomvektore wees. Suppose that T :V → W is a linear map satisfying / Veronderstel dat T : V → W 'n lineêre afbeelding is wat bevredig: T ([1,0))- т (0, 1) - 1 -1 2 Find the value of / Bereken die waarde van T ((-1, 2)). Write down the values below if the answer is / Skryf die waardes hier onder neer as die antwoord is: a2 az a, = a2 = az =
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Vector Space
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning