الجبر الخطي الأمثلة

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 ${\displaystyle 3\times 3}$.

اضرب كل صف في المصفوفة الأولى في كل عمود في المصفوفة الثانية.

بسّط كل عنصر من عناصر المصفوفة بضرب جميع العبارات.

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.

يمكن إيجاد محدد المصفوفة ${\displaystyle 2\times 2}$ باستخدام القاعدة ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

بسّط المحدد.

يمكن إيجاد محدد المصفوفة ${\displaystyle 2\times 2}$ باستخدام القاعدة ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

بسّط المحدد.

يمكن إيجاد محدد المصفوفة ${\displaystyle 2\times 2}$ باستخدام القاعدة ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

بسّط المحدد.

بسّط كل حد.

اطرح ${\displaystyle 1296}$ من ${\displaystyle 348}$.

أضف ${\displaystyle -948}$ و${\displaystyle 1848}$.