फाइनाइट मैथ उदाहरण

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 ${\displaystyle 3\times 2}$ and the second matrix is ${\displaystyle 2\times 3}$.

पहले मैट्रिक्स में प्रत्येक पंक्ति को दूसरे मैट्रिक्स में प्रत्येक कॉलम से गुणा करें.

सभी व्यंजकों को गुणा करके आव्यूह के प्रत्येक अवयव को सरल करें.

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 ${\displaystyle a_{31}}$ is the determinant with row ${\displaystyle 3}$ and column ${\displaystyle 1}$ deleted.

Multiply element ${\displaystyle a_{31}}$ by its cofactor.

The minor for ${\displaystyle a_{32}}$ is the determinant with row ${\displaystyle 3}$ and column ${\displaystyle 2}$ deleted.

Multiply element ${\displaystyle a_{32}}$ by its cofactor.

The minor for ${\displaystyle a_{33}}$ is the determinant with row ${\displaystyle 3}$ and column ${\displaystyle 3}$ deleted.

Multiply element ${\displaystyle a_{33}}$ by its cofactor.

Add the terms together.

${\displaystyle 0}$ और ${\displaystyle 0}$ जोड़ें.

${\displaystyle 0}$ और ${\displaystyle 0}$ जोड़ें.