If T :mathbb{R}^2 rightarrow mathbb{R}^2 is a linear transformation such that Tleft(begin{bmatrix}3 6 end{bmatrix}right)=begin{bmatrix}39 33 end{bmatrix} text{ and } Tleft(begin{bmatrix}6 -5 end{bmatrix}right)=begin{bmatrix}27 -53 end{bmatrix} then the standard matrix of T is A

Jaya Legge 2021-02-25 Answered
If T :R2R2 is a linear transformation such that
T([36])=[3933] and T([65])=[2753]
then the standard matrix of T is A
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Expert Answer

Malena
Answered 2021-02-26 Author has 83 answers
Step 1
Given:
T([36])=[3933] and T([65])=[2753]
The standard matrix of T will be the product of two matrices.
Step 2
T=(339633)(627553)
=(18195812067361651621749)
=(17719861291587)
Therefore the standard matrix of T is T=(17719861291587)
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Jeffrey Jordon
Answered 2022-01-27 Author has 2313 answers

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