Question

If U and V be two vector spaces over the fi
eld F. A mapping. T: U → Vis said to be ..
(a) linear mapping
(b) linear transformation
(c) yector transformation
(d) none of these​

Answer 1

Step-by-step explanation:

none of these........

Answer 2

Option b) linear transformation is the correct answer.

If U and V be two vector spaces over the fi

eld F. A mapping. T: U → V is said to be linear transformation.

• Linear transformation is a mapping between two vector spaces which preserves addition and scalar multiplication.

• Zero transformation and identify transformation are the two important examples of linear transformation.

• A function is called linear when it preserves linear combinations. Hence, linear transformation is called linear.

• Linear transformation is also known as linear mapping.

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