Question

How to compute determinant of 3x3 matrix.

A) Matrix inversion
B) Gaussian elimination
C) Cofactor expansion
D) Logarithmic scale

Answer 1

The correct method to compute the determinant of a 3x3 matrix is Cofactor expansion.

Step-by-step explanation:

The correct method to compute the determinant of a 3x3 matrix is C) Cofactor expansion. The cofactor expansion method involves breaking down the matrix into smaller 2x2 matrices and calculating the determinants of those matrices. The formula for computing the determinant of a 3x3 matrix using cofactor expansion is:

det(A) = (a11 * C11) + (a12 * C12) + (a13 * C13)

where aij represents the elements of the matrix and Cij represents the associated cofactor. By calculating the cofactor of each element and multiplying it by its respective entry, you can find the determinant of the 3x3 matrix.