Linear Combinations & Span: Definition & Equation


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A linear combination is...

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1. To find the span of a set in a vector space, we find

2. A linear combination of the values in the set {(1, 0), (0, 1)} over the field of real numbers is

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About This Quiz & Worksheet

What is a linear combination? How do you find the value of a linear combination? These questions represent some of the details you must be familiar with when you use this quiz and worksheet assessment tool.

Quiz & Worksheet Goals

When you take this quiz, you can expect to be asked to do the following:

  • Describe what a linear combination is
  • Relate how to find the span of a set
  • Find the value of the linear combination in given examples
  • Understand the pieces of a linear combination equation

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related lesson, such as how to find the span of a set
  • Problem solving - use acquired knowledge to solve sample linear combination problems
  • Information recall - access the knowledge you've gained regarding linear combination equations

Additional Learning

If you're looking for further clarification about this mathematical topic, you can use the lesson titled Linear Combinations & Span: Definition & Equation to find out more. Details covered in this lesson include:

  • A practical example of a linear combination
  • What scalars are
  • The step-by-step process of finding linear combination and span