Álgebra lineal Ejemplos

Two matrices can be multiplied if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix. In this case, the first matrix is ${\displaystyle 3\times 3}$ and the second matrix is ${\displaystyle 3\times 3}$.

Multiplica cada fila en la primera matriz por cada columna en la segunda matriz.

Simplifica cada elemento de la matriz mediante la multiplicación de todas las expresiones.

Consider the corresponding sign chart.

The cofactor is the minor with the sign changed if the indices match a ${\displaystyle -}$ position on the sign chart.

The minor for ${\displaystyle a_{11}}$ is the determinant with row ${\displaystyle 1}$ and column ${\displaystyle 1}$ deleted.

Multiply element ${\displaystyle a_{11}}$ by its cofactor.

The minor for ${\displaystyle a_{12}}$ is the determinant with row ${\displaystyle 1}$ and column ${\displaystyle 2}$ deleted.

Multiply element ${\displaystyle a_{12}}$ by its cofactor.

The minor for ${\displaystyle a_{13}}$ is the determinant with row ${\displaystyle 1}$ and column ${\displaystyle 3}$ deleted.

Multiply element ${\displaystyle a_{13}}$ by its cofactor.

Add the terms together.

El determinante de una matriz ${\displaystyle 2\times 2}$ puede obtenerse usando la fórmula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Simplifica el determinante.

El determinante de una matriz ${\displaystyle 2\times 2}$ puede obtenerse usando la fórmula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Simplifica el determinante.

El determinante de una matriz ${\displaystyle 2\times 2}$ puede obtenerse usando la fórmula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Simplifica el determinante.

Simplifica cada término.

Resta ${\displaystyle 1296}$ de ${\displaystyle 348}$.

Suma ${\displaystyle -948}$ y ${\displaystyle 1848}$.