If Is a Linear Transformation, with V a Vector

question 38

True/False

If is a linear transformation, with V a vector space having basis , and if for all i, where is a scalar, then the matrix of T is diagonal, where G is the basis used for both the domain and codomain.​

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Definitions:

Appropriation

The act of taking something for one's own use, generally without the owner's permission.

Exclusive Right

A legal provision granting someone the sole permission to engage in a particular activity or use a specific property.

Law of Torts

The body of laws governing civil wrongs that allow the injured party to receive compensation from those responsible for causing the harm.

Reallocates Losses

describes the process of redistributing financial burdens or losses, often seen in insurance, investment, or risk management contexts, to adjust the impact on involved parties.