Question

Find the value of the determinant formed by the cofactors of the elements of| 1 1 1 || 3 4 3 || 3 3 4 |

Answer 1

Answer:

pls see the attachment

Answer 2

Th value of the determinant formed by the cofactors of the elements of a matrix given by | 1 1 1 || 3 4 3 || 3 3 4 | is 1.

Using the definition of the determinant of a matrix, we can expand a given matrix using cofactors of the elements given. In this case, by expanding using cofactors, we obtain the resulting equation as [1 * (16 - 9) + 1 * (9 - 12) + 1 * (9 - 12)] = 1. To obtain the equation, we block out a given column while keeping the top row fixed. We then compute the cofactor for each resulting block of elements, and sum them to obtain the final equation.