Algebra lineare Esempi

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 ${\displaystyle 3\times 3}$.

Moltiplica ogni riga nella prima matrice per ogni colonna nella seconda matrice.

Semplifica ogni elemento della matrice moltiplicando tutte le espressioni.

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.

È possibile trovare il determinante di una matrice ${\displaystyle 2\times 2}$ usando la formula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Semplifica il determinante.

È possibile trovare il determinante di una matrice ${\displaystyle 2\times 2}$ usando la formula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Semplifica il determinante.

È possibile trovare il determinante di una matrice ${\displaystyle 2\times 2}$ usando la formula ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Semplifica il determinante.

Semplifica ciascun termine.

Sottrai ${\displaystyle 1296}$ da ${\displaystyle 348}$.

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