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Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 20CR: Let T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3....
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M2,2
such that
Let T be a linear transformation from M2,2 into M.
3
-1
1 2
10
1
-1
0 2
01
·-([ : : )) = [ ; −2²]· ·¹([ : : )) = [ ¦; ²] ([; :D)- [3 ²] ¹([; ;)) = [³ −3]
]·
1 1
10
0 1
00
0
3
Find())
Find
Transcribed Image Text:M2,2 such that Let T be a linear transformation from M2,2 into M. 3 -1 1 2 10 1 -1 0 2 01 ·-([ : : )) = [ ; −2²]· ·¹([ : : )) = [ ¦; ²] ([; :D)- [3 ²] ¹([; ;)) = [³ −3] ]· 1 1 10 0 1 00 0 3 Find()) Find
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