Classical Dynamics of Particles and Systems · Problem 1-14

Newtonian Mechanics—Single Particle — Marion & Thornton

Physics — Mechanics · matrix-algebra

Problem

Consider the following matrices:

\mathbf{A} = \begin{pmatrix} 1 & 2 & -1 \\ 0 & 3 & 1 \\ 2 & 0 & 1 \end{pmatrix}, \quad \mathbf{B} = \begin{pmatrix} 2 & 1 & 0 \\ 0 & -1 & 2 \\ 1 & 1 & 3 \end{pmatrix}, \quad \mathbf{C} = \begin{pmatrix} 2 & 1 \\ 4 & 3 \\ 1 & 0 \end{pmatrix}

Find the following ((a))

|\mathbf{AB}|

((b))

\mathbf{AC}

((c))

\mathbf{ABC}

((d))

\mathbf{AB} - \mathbf{B}^t\mathbf{A}^t