If Is a Linear Transformation, Then

question 34

True/False

If
is a linear transformation, then
for all vectors
and

.

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Definitions:

Directional Hypothesis

A hypothesis that specifies the direction of the expected difference or relationship.

Null Hypothesis

The null hypothesis is a statement suggesting that no statistical significance exists in a set of given observations, representing a default position that there is no association between two measured phenomena.

Type II Error

The error made when a false null hypothesis is not rejected, missing the detection of a real effect.

Type I Error

The mistake of rejecting the null hypothesis when it is actually true.