Name: Date: MATH 270: Linear Algebra m270q032a Page 1 of 2 CW 32: Vector Spaces 2 In Problem 34, find a basis for each vector space. heen 3α-2b] -4c a, b, c E R A. H = b B. K =|b E R3:a 3b + 2c= useobrin In Problem 35, define T: P2R2 by p(0)] T(p) = Ip(2) Find the standard matrix of the transformation. Show your calculations. (Note: the standard basis for P2 is {1, t, t2}.) A. Find a basis for the kernel of the transformation. Show your calculations. B.

Question

Vector spaces 2 Pratice not test all of it 

Name:
Date:
MATH 270: Linear Algebra
m270q032a
Page 1 of 2
CW 32: Vector Spaces 2
In Problem 34, find a basis for each vector space.
heen
3α-2b]
-4c a, b, c E R
A.
H =
b
B.
K =|b
E R3:a
3b + 2c=
useobrin
In Problem 35, define T: P2R2 by
p(0)]
T(p) = Ip(2)
Find the standard matrix of the transformation. Show your calculations. (Note: the
standard basis for P2 is {1, t, t2}.)
A.
Find a basis for the kernel of the transformation. Show your calculations.
B.

Image Transcription

Name: Date: MATH 270: Linear Algebra m270q032a Page 1 of 2 CW 32: Vector Spaces 2 In Problem 34, find a basis for each vector space. heen 3α-2b] -4c a, b, c E R A. H = b B. K =|b E R3:a 3b + 2c= useobrin In Problem 35, define T: P2R2 by p(0)] T(p) = Ip(2) Find the standard matrix of the transformation. Show your calculations. (Note: the standard basis for P2 is {1, t, t2}.) A. Find a basis for the kernel of the transformation. Show your calculations. B.

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