Matrix Determinant and Equations
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Questions and Answers

What is the determinant of the matrix represented by the values:\n``` 1 2 3 3 1 5 -4 8 12

  • -18 (correct)
  • 0
  • 24
  • 36
  • Using the demand function -15p + 250 = q, what is the value of q when the price p is $10?

  • 100 (correct)
  • 1000
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  • What is the equilibrium price in the market when solving the equations -15p + 250 = q and 25p - 150 = q using determinants?

  • 12
  • 10
  • 14
  • 8 (correct)
  • After calculating the equilibrium quantity using matrices, what value is obtained when p is substituted into either the demand or supply function?

    <p>80</p> Signup and view all the answers

    Which property of determinants is used to simplify the calculation when finding the determinant of the matrix given?

    <p>Adding a multiple of one row to another does not change the determinant.</p> Signup and view all the answers

    Study Notes

    Matrix Determinant

    • A matrix is given:
    1  2  3
    3  1  5
    - 4 8 12
    

    System of Equations

    • Two equations are given relating variables p and q:
      • -15p + 250 = q
      • 25p - 150 = q

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    Description

    Test your knowledge on calculating matrix determinants and solving systems of equations with the variables p and q. This quiz covers both matrix operations and linear algebra concepts. Challenge yourself to find the solutions!

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