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

Question 607697: Evaluate the determinant: Please show me the steps.
{{8,1,3},{2,-1,4},{1,-1,2}}
Answer by richard1234(7193) (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.
RELATED QUESTIONS
evaluate the determinant: 3 4 -1... (answered by stanbon)

evaluate the 3 x 3 determinant 3 4 -1 4 6 2 8 -2 3 (answered by Nate)

evaluate the determinant 3 -1 2 -2 1 -3 4 -1... (answered by jim_thompson5910)

evaluate the following determinant -4 -3 3 5 1 -3 7 -1... (answered by ewatrrr)

evaluate the determinant (3by3) [1-1 2] -1 2 0 -1 3 1 (answered by Alan3354)

Evaluate the determinant: |3 3 4| |6 1 2| |3 2... (answered by jim_thompson5910,kensson)

Evaluate the determinant 6 5 6 1 1 3 2 5... (answered by stanbon)

Evaluate the determinant |5 0 1|
                         |4 1 2|
                (answered by Edwin McCravy)
Please help me find the determinant of the matrix       [-1 2
                            (answered by jim_thompson5910)