SOLUTION: Evaluate the determinant: Please show me the steps. {{8,1,3},{2,-1,4},{1,-1,2}}

Algebra ->  Matrices-and-determiminant -> SOLUTION: Evaluate the determinant: Please show me the steps. {{8,1,3},{2,-1,4},{1,-1,2}}      Log On


   



Question 607697: Evaluate the determinant: Please show me the steps.
{{8,1,3},{2,-1,4},{1,-1,2}}

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Look up the following website: http://en.wikipedia.org/wiki/Determinant

Basically the determinant is 8*det(A) - 1*det(B) + 3*det(C)

where A,B,C are the matrices determined by truncating every entry in the same column or row as 8, 1, 3. In other words,

A = {{-1,4}{-1,2}}
B = {{2,-4}{1,2}}
C = {{2,-1}{1,-1}}

Finding the determinant of a 2x2 matrix should be easy.