Matrices and Determinants: Learning Outcomes Quiz
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Questions and Answers

What is the order of a matrix?

  • The product of all elements in the matrix
  • The sum of all elements in the matrix
  • The number of rows and columns in the matrix (correct)
  • The determinant of the matrix

    • What is a scalar matrix?

  • A matrix with different values in each row and column
  • A matrix with all elements equal to 1
  • A square matrix with all elements equal to 0
  • A matrix where all diagonal elements are equal and non-diagonal elements are zero (correct)

    • When does the commutative law hold for matrix multiplication?

  • It does not hold in general (i.e., AB ≠ BA) (correct)
  • It holds only for symmetric matrices
  • It holds only for square matrices
  • It always holds for any matrices A and B

    • What is the multiplicative identity of a matrix?

    <p>An identity matrix</p> Signup and view all the answers

    How is the determinant of a square matrix defined?

    <p>The product of the main diagonal elements minus the product of off-diagonal elements</p> Signup and view all the answers

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