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Exercise 103

Avg difficulty 2.5

Compute

  1. [31]+[6−3]\begin{bmatrix} 3 \\ 1 \end{bmatrix} + \begin{bmatrix} 6 \\ -3 \end{bmatrix}
  2. [−12]−[2−1]\begin{bmatrix} -1 \\ 2 \end{bmatrix} - \begin{bmatrix} 2 \\ -1 \end{bmatrix}
  3. −[−53]-\begin{bmatrix} -5 \\ 3 \end{bmatrix}
  4. 2[−24]2\begin{bmatrix} -2 \\ 4 \end{bmatrix}
  5. 3[10]+7[01]3\begin{bmatrix} 1 \\ 0 \end{bmatrix} + 7 \begin{bmatrix} 0 \\ 1 \end{bmatrix}
  6. 2[2−3]−6[2−1]2\begin{bmatrix} 2 \\ -3 \end{bmatrix} - 6 \begin{bmatrix} 2 \\ -1 \end{bmatrix}

Lebl, Notes on Diffy Qs, §10.1 Vectors, mappings, and matrices, exercise 103

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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.