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Matrices

Multiplicar una matriz por un escalar

Para multiplicar una matriz por un escalar k, multiplica cada elemento de la matriz por el valor de k.

k·A = kA

$\fs2k\left[\begin{array}a&b\\c&d\end{array}\right]\;=\;\left[\begin{array}ka&kb\\kc&kd\end{array}\right]$

$\fs23\left[\begin{array}4&1\\7&-2\end{array}\right]\;=\;\left[\begin{array}3\cdot4&3\cdot1\\3\cdot7&3\cdot(-2)\end{array}\right]\;=\;\left[\begin{array}12&3\\21&-6\end{array}\right]$

Calcula:

 $$5\begin{pmatrix}1&-1&5&3\\0&-1&-2&-5\\-5&3&2&0\\-5&2&0&-2 \end{pmatrix} =$$