Determinant in Linear Algebra
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Questions and Answers

What is the number of rows equal to in a square matrix?

  • The determinant value
  • The size of the matrix (correct)
  • The value of the first element
  • The number of columns
  • In a $3 \times 3$ matrix, how many entries are there?

  • 3
  • 9 (correct)
  • 6
  • 4
  • What is the determinant of a $2 \times 2$ matrix given by $\begin{bmatrix} a & b \ c & d \end{bmatrix}$?

  • $a^2 + b^2 + c^2 + d^2$
  • $2ad - bc$ (correct)
  • $ad - bc$
  • $ab\sqrt{cd}$
  • What happens to the determinant of a matrix if all its entries are multiplied by a scalar?

    <p>The determinant is multiplied by the scalar</p> Signup and view all the answers

    Which property of determinants states that swapping two rows of a matrix negates its determinant?

    <p>Interchange property</p> Signup and view all the answers

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