Aljabar Linear Contoh

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 ${\displaystyle 3\times 3}$.

Kalikan setiap baris pada matriks pertama dengan setiap kolom pada matriks kedua.

Sederhanakan setiap elemen dalam matriks dengan mengalikan semua pernyataannya.

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.

Determinan dari matriks ${\displaystyle 2\times 2}$ dapat dicari menggunakan rumus ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Sederhanakan determinannya.

Determinan dari matriks ${\displaystyle 2\times 2}$ dapat dicari menggunakan rumus ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Sederhanakan determinannya.

Determinan dari matriks ${\displaystyle 2\times 2}$ dapat dicari menggunakan rumus ${\displaystyle \left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb}$.

Sederhanakan determinannya.

Sederhanakan setiap suku.

Kurangi ${\displaystyle 1296}$ dengan ${\displaystyle 348}$.

Tambahkan ${\displaystyle -948}$ dan ${\displaystyle 1848}$.