1 Let T: R2 R3 be a linear transformation for which T 0 5 b Find T and T 4 a 54 [:] 11 = N and T 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 15EQ
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Let T: R2 R3 be a linear transformation for which T
37[5] and 7[B]
T
Find T
54
11
-1
----
and T
=
=
1
[6].
3
4
0
Transcribed Image Text:Let T: R2 R3 be a linear transformation for which T 37[5] and 7[B] T Find T 54 11 -1 ---- and T = = 1 [6]. 3 4 0
Let T: M22
->>>>
R be a linear transformation for which
1 0
1 1
= 4,
= 8
00
00
1
1
= 12,
[11]
= 16.
1 0
2 1
a b
Find [3] and [2]
T
T
35
c d
2 1
+ [ ³ 3 ) =
3 5
ab
√ [b]= 4(a+b+c+d)
T
cd
T
Transcribed Image Text:Let T: M22 ->>>> R be a linear transformation for which 1 0 1 1 = 4, = 8 00 00 1 1 = 12, [11] = 16. 1 0 2 1 a b Find [3] and [2] T T 35 c d 2 1 + [ ³ 3 ) = 3 5 ab √ [b]= 4(a+b+c+d) T cd T
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