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Exercise 101

Avg difficulty 2.5

Compute the determinant of the following matrices:

  1. [−2]\begin{bmatrix} -2 \end{bmatrix}
  2. [2−213]\begin{bmatrix} 2 & -2 \\ 1 & 3 \end{bmatrix}
  3. [2222]\begin{bmatrix} 2 & 2 \\ 2 & 2 \end{bmatrix}
  4. [29−110−15003]\begin{bmatrix} 2 & 9 & -11 \\ 0 & -1 & 5 \\ 0 & 0 & 3 \end{bmatrix}
  5. [210−273110]\begin{bmatrix} 2 & 1 & 0 \\ -2 & 7 & 3 \\ 1 & 1 & 0 \end{bmatrix}
  6. [513411451]\begin{bmatrix} 5 & 1 & 3 \\ 4 & 1 & 1 \\ 4 & 5 & 1 \end{bmatrix}
  7. [3257002004502124]\begin{bmatrix} 3 & 2 & 5 & 7 \\ 0 & 0 & 2 & 0 \\ 0 & 4 & 5 & 0 \\ 2 & 1 & 2 & 4 \end{bmatrix}
  8. [021012−3456−78123−2]\begin{bmatrix} 0 & 2 & 1 & 0 \\ 1 & 2 & -3 & 4 \\ 5 & 6 & -7 & 8 \\ 1 & 2 & 3 & -2 \end{bmatrix}

Lebl, Notes on Diffy Qs, §10.6 Determinant, exercise 101

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.