Linear Transformations
by David M. Lane
Prerequisites
• None
Learning Objectives
- Give the formula for a linear transformation
- Determine whether a transformation is linear
- Describe what is linear about a linear transformation
Often it is necessary to transform data from one measurement scale to another. For example, you might want to convert height measured in feet to height measured in inches. Table 1 shows the heights of four people measured in both feet and inches. To transform feet to inches, you simply multiply by 12. Similarly, to transform inches to feet, you divide by 12.
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