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Exercise 104

Avg difficulty 2.5

By computing the inverse, solve the following systems for x⃗\vec{x}.

  1. [−1133]x⃗=[46]\begin{bmatrix} -1 & 1 \\ 3 & 3 \end{bmatrix} \vec{x} = \begin{bmatrix} 4 \\ 6 \end{bmatrix}
  2. [2716]x⃗=[13]\begin{bmatrix} 2 & 7 \\ 1 & 6 \end{bmatrix} \vec{x} = \begin{bmatrix} 1 \\ 3 \end{bmatrix}

Lebl, Notes on Diffy Qs, §10.3 Elimination, exercise 104

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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.