Determinants
Not what you're looking for? Search our solutions OR ask your own Custom question.
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.
$2.49