An example of a linear transformation is
A) converting heights from feet to meters.
B) subtracting the value of the mean from each individual IQ score and dividing by the value of the standard deviation.
C) both a and b
D) none of the above

Question

Quizplus · Accepted Answer

A linear transformation is a mathematical operation that follows the rules of linear algebra, which means that it involves only simple arithmetic operations such as addition, subtraction, and multiplication by a constant. Converting heights from feet to meters involves multiplying by a constant (0.3048), which is a linear transformation. Similarly, subtracting the value of the mean from each individual IQ score and dividing by the value of the standard deviation involves subtracting a constant and dividing by a constant, which are both linear transformations. Therefore, both options A and B are examples of linear transformations.

An Example of a Linear Transformation Is