Define the term Linear Transformation.

Ava-May Nelson

Ava-May Nelson

Answered question

2021-10-30

Define the term Linear Transformation.

Answer & Explanation

escumantsu

escumantsu

Skilled2021-10-31Added 98 answers

Step 1: Linear Transformation:
A linear transformation is a function from one vector space to some representing a linear structure of each vector space. A linear transformation is also known as a linear operator or map. The linear transformation is Endomorphism When the domain and range of the transformation are the same. Whereas it is known as Automorphism when the transformation is invertible. The two vector spaces need to have an identical structure.
Step 2: Example:
Any transformation is represented as:
T:XY ,for any vectors αandβ in X with scalar multiple x and y underlying the field
T(xα+yβ)=xT(α)+yT(β)

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