2. Compute the following products: \begin{pmatrix} a & 2 & 4 \\ 0 & b & 3 \\ 0 & 0 & c \end{pmatrix} \begin{pmatrix} d & 1 & 2 \\ 0 & e & 2 \\ 0 & 0 & f \end{pmatrix} = \begin{pmatrix} 5 & 0 & 0 \\ 3 & 6 & 0 \\ 3 & 2 & c \end{pmatrix} \begin{pmatrix} d & 0 & 0 \\ 1 & e & 0 \\ 2 & 1 & f \end{pmatrix} = \begin{pmatrix} 0 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & c \end{pmatrix} \begin{pmatrix} 1 & 1 & -1 \\ 4 & 3 & 2 \\ -3 & 2 & 1 \end{pmatrix} = \begin{pmatrix} 3 & 2 & -1 \\ 2 & 4 & 1 \\ -1 & 1 & 1 \end{pmatrix} \begin{pmatrix} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{pmatrix} = \begin{pmatrix} a & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & c \end{pmatrix} \begin{pmatrix} a & 0 & 0 \\ 0 & e & 0 \\ 0 & 0 & f \end{pmatrix} =
Added by Debra H.
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To compute A6, we need to multiply A by itself 6 times. A * A = A^2 A^2 * A = A^3 A^3 * A = A^4 A^4 * A = A^5 A^5 * A = A^6 So, A6 is equal to A^6. Show more…
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