# Linear Combinations: Definition & Equation

Instructions:

question 1 of 3

### Your generating set is {(1, 0, 0), (0, 1, 0), (0, 0, 1)}. What would the linear combination of these elements be if you use the scalars 5, 7, and 0 in order?

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### 2. A grocery store receipt contains the following: 2 gallons of milk, 5 sticks of butter, and 3 quarts of vanilla yogurt. Which of the following statements accurately expresses this as a linear combination?

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With this quiz and worksheet combination, you can find out what you know about linear combinations. Questions ask for the linear combination of a set of elements, and also, finding the combination for a generating set over a scalar set.

## Quiz & Worksheet Goals

• Characteristics of a given element
• A linear combination involving a grocery store receipt
• The meaning of 'linear combination'
• The linear combination for a generating set over a scalar set

## Skills Practiced

• Information recall - remember what you have learned about generating sets and scalar sets
• Problem solving - use what you know to solve practice problems, including one that uses a grocery store receipt
• Defining key concepts - ensure that you can give a proper definition for linear combination