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Exercise 101

Avg difficulty 2.5

Compute the reduced row echelon form for the following matrices:

  1. [101010]\begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}
  2. [1234]\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}
  3. [11−2−2]\begin{bmatrix} 1 & 1 \\ -2 & -2 \end{bmatrix}
  4. [1−3146−2−26−2]\begin{bmatrix} 1 & -3 & 1 \\ 4 & 6 & -2 \\ -2 & 6 & -2 \end{bmatrix}
  5. [22521−24−1031−2]\begin{bmatrix} 2 & 2 & 5 & 2 \\ 1 & -2 & 4 & -1 \\ 0 & 3 & 1 & -2 \end{bmatrix}
  6. [−264360−3042−11]\begin{bmatrix} -2 & 6 & 4 & 3 \\ 6 & 0 & -3 & 0 \\ 4 & 2 & -1 & 1 \end{bmatrix}
  7. [00000000]\begin{bmatrix} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{bmatrix}
  8. [12331235]\begin{bmatrix} 1 & 2 & 3 & 3 \\ 1 & 2 & 3 & 5 \end{bmatrix}

Lebl, Notes on Diffy Qs, §10.3 Elimination, 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.