If T: R² → R² is a linear transformation such that then the standard matrix of I is A = 19 47 3 -48 47 ¹ (13]) = [³] and T([*]) = [4], 48

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The answer above is NOT correct.
19 47
3 -48
If T: R² R² is a linear transformation such that
A =
then the standard matrix of TI is
3
19 47
-48
Answer Preview
19
3
47
-48
[19]
6
(D-3) ~(9)-R
=
and
=
47
>
-48
Result
incorrect
Transcribed Image Text:Entered The answer above is NOT correct. 19 47 3 -48 If T: R² R² is a linear transformation such that A = then the standard matrix of TI is 3 19 47 -48 Answer Preview 19 3 47 -48 [19] 6 (D-3) ~(9)-R = and = 47 > -48 Result incorrect
Expert Solution
Step 1

Given that T:22 is a linear transformation such that T32=193 and T6-5=47-48.

To find the standard matrix of T.

Let A denotes the standard matrix of T.

The columns of the standard matrix are representations of the vectors of the standard basis.

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