## Example ¹2. Finding the Determinant of a 4x4 MatrixThis solution was made using the calculator presented on the site. Example ¹1. Finding the determinant of a 3x3 matrix Example ¹3. Finding the determinant of a 5x5 matrix Let's calculate the determinant A using a elementary transformations.
The elements of column 1 multiplied by -1 are added to the corresponding elements of column 4. more info
This elementary transformation does not change the value of the determinant.
Expand the determinant along the column 4. more info
Products are summed. If the element is zero then product is zero too.
The elements of column 1 multiplied by -1 are added to the corresponding elements of column 2. more info
This elementary transformation does not change the value of the determinant.
The elements of column 2 multiplied by -2 are added to the corresponding elements of column 1. more info
This elementary transformation does not change the value of the determinant.
The elements of column 2 are added to the corresponding elements of column 3. more info
This elementary transformation does not change the value of the determinant.
Expand the determinant along the row 1. more info
Products are summed. If the element is zero then product is zero too.
= - 8 * ( -1 * 2 - ( -2) * 10 ) = = - 8 * ( -2 + 20 ) = = -144
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