# Determinants

Find the determinant of the following matrix and find the Area of the parallelogram formed by the two vectors. Matrix: i j k

1 1 -3

0 -6 5

https://brainmass.com/math/matrices/determinants-example-problem-19334

#### Solution Preview

The determinant of the matrix A consisting of elements aij where i=1,2,3 and j =1,2,3, and i is the row and j is the column has the following form:

a11*a22*a33 + a12*a23*a31 + a13*a21*a32 - a11*a23*a32 - a12*a21*a33 - a13*a22*a31

In the given problem, the determinant is exactly a determinant because the first row of values are not numbers but ...

#### Solution Summary

This shows how to find the determinant of a matrix and find the area of the parallelogram formed by the two vectors.

$2.19