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