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## PowerPoint Slideshow about 'Determinants' - libitha

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### Determinants

2 x 2 and 3 x 3 Matrices

Note the difference in the matrix and the determinant of the matrix!Determinants

- Every square matrix has a determinant.
- The determinant of a matrix is a number.
- We will consider the determinants only of 2x2 and 3x3 matrices.

Determinant of a 3x3 matrix

Imagine crossing out the first row.

And the first column.

Now take the double-crossed element. . .

And multiply it by the determinant of the remaining 2x2 matrix

Determinant of a 3x3 matrix

Now keep the first row crossed.

Cross out the second column.

- Now take the negative of the double-crossed element.
- And multiply it by the determinant of the remaining 2x2 matrix.
- Add it to the previous result.

Determinant of a 3x3 matrix

Finally, cross out first row and last column.

- Now take the double-crossed element.
- Multiply it by the determinant of the remaining 2x2 matrix.
- Then add it to the previous piece.

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