Matrices and Determinants Quiz
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Questions and Answers

What is the matrix representation of a 3x3 identity matrix?

  • [[1, 1, 1], [1, 1, 1], [1, 1, 1]]
  • [[1, 0, 0], [0, 1, 0], [0, 0, 1]] (correct)
  • [[0, 1, 0], [1, 0, 1], [0, 1, 0]]
  • [[1, 0, 1], [0, 1, 0], [1, 0, 1]]
  • What is the determinant of a 2x2 matrix [[a, b], [c, d]]?

  • ab + cd
  • a^2 + b^2 + c^2 + d^2
  • a + b + c + d
  • ad - bc (correct)
  • What is the determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?

  • 9
  • 3
  • 0 (correct)
  • 1
  • Study Notes

    Matrix Representation

    • The matrix representation of a 3x3 identity matrix is [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

    Determinant of a 2x2 Matrix

    • The determinant of a 2x2 matrix [[a, b], [c, d]] is ad - bc

    Determinant of a 3x3 Matrix

    • The determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]] is 0

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    Description

    Test your knowledge of matrices and determinants in this Class 12 Mathematics quiz. Answer questions about the matrix representation of a 3x3 identity matrix, the determinant of a 2x2 matrix, and the determinant of a 3x3 matrix. Sharpen your understanding of these fundamental concepts in linear algebra.

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