SOLUTION: Compute the determinant:
4 0 -1
3 6 -2
-2 5 1
Complete lost on this one. Please help.
Algebra.Com
Question 979883: Compute the determinant:
4 0 -1
3 6 -2
-2 5 1
Complete lost on this one. Please help.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
Since the matrix contains zero in the first row, I will use cofactoring the determinant along the first row (see the lesson Co-factoring the determinant of a 3x3 matrix in this site):
det = 4*det - 0*det + (-1)*det =
= 4*det + (-1)*det = 4*(6*1 - 5*(-2)) - (3*5 - (-2)*6) = 4*(6 - (-10)) - (15 - (-12)) = 4*(6 + 10) - (15 + 12) = 4*16 - 27 = 64 - 27 = 37.
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