image. Let V = R2x2 be the vector space of 2 x 2 matrices and let L: V → V be defined by L(X) = 0 [])= -5 b. Find a basis for ker(L): a. Find L( 4 { c. Find a basis for ran(L): } -16 -8 4] X. Hint: The image of a spanning set is a spanning set for the

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 41CR: Consider the matrices below. X=[1201],Y=[1032],Z=[3412],W=[3241] Find scalars a,b, and c such that...
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image.
Let V = R²x2 be the vector space of 2 x 2 matrices and let L: V → V be defined by L(X) =
0
(4)
-5
b. Find a basis for ker(L):
a. Find L(
{
c. Find a basis for ran(L):
|][|
-16
-8
X. Hint: The image of a spanning set is a spanning set for the
Transcribed Image Text:image. Let V = R²x2 be the vector space of 2 x 2 matrices and let L: V → V be defined by L(X) = 0 (4) -5 b. Find a basis for ker(L): a. Find L( { c. Find a basis for ran(L): |][| -16 -8 X. Hint: The image of a spanning set is a spanning set for the
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