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Exercise 105

Avg difficulty 2.5

Compute the inverse of the given matrices

  1. [2003]\begin{bmatrix} 2 & 0 \\ 0 & 3 \end{bmatrix}
  2. [40005000−1]\begin{bmatrix} 4 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & -1 \end{bmatrix}
  3. [−1000020000300000.1]\begin{bmatrix} -1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 0.1 \end{bmatrix}

Lebl, Notes on Diffy Qs, §10.2 Matrix algebra, exercise 105

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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.