Álgebra linear Exemplos

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 ${\displaystyle 3\times 3}$.

Multiplique cada linha na primeira matriz por cada coluna na segunda matriz.

Simplifique cada elemento da matriz multiplicando todas as expressões.

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.

O determinante de uma matriz ${\displaystyle 2\times 2}$ pode ser encontrado ao usar a fórmula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Simplifique o determinante.

O determinante de uma matriz ${\displaystyle 2\times 2}$ pode ser encontrado ao usar a fórmula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Simplifique o determinante.

O determinante de uma matriz ${\displaystyle 2\times 2}$ pode ser encontrado ao usar a fórmula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Simplifique o determinante.

Simplifique cada termo.

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

Some ${\displaystyle -948}$ e ${\displaystyle 1848}$.