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Matrices and Determinants · 2021 · Shift 1

4 Mathematics questions from this JEE Advanced paper
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Matrices and Determinants · 2021 · Shift 1

4 Mathematics questions from this JEE Advanced paper

  1. Q26.Let α, β and γ be real numbers such that the system of linear equations x + 2y + 3z =α 4x + 5y + 6z =β 7x + 8y + 9z =γ− 1 is consistent. Let | M | represent the determinant of the matrix M=​αβ−1​210​γ01​​…
    Mathematics · Matrices and Determinants · Numerical
  2. Q27.Let α, β and γ be real numbers such that the system of linear equations x + 2y + 3z =α 4x + 5y + 6z =β 7x + 8y + 9z =γ− 1 is consistent. Let | M | represent the determinant of the matrix M=​αβ−1​210​γ01​​…
    Mathematics · Matrices and Determinants · Numerical
  3. Q30.For any 3 × 3 matrix M, let | M | denote the determinant of M. Let E=​128​2313​3418​​, P=​100​001​010​​…
    Mathematics · Matrices and Determinants · Multiple correct
  4. Q33.For any 3 × 3 matrix M, let |M| denote the determinant of M. Let I be the 3 × 3 identity matrix. Let E and F be two 3 × 3 matrices such that (I − EF) is invertible. If G = (I − EF) − 1, then which of the…
    Mathematics · Matrices and Determinants · Multiple correct