How do you find the determinant of #((5, 3, 2, 8), (0, 0, 4, 0), (2, 8, 3, 1), (0, 7, -4, 2))#?

1 Answer
Apr 30, 2016

Answer:

#-580#

Explanation:

#[[color(orange)(5),color(orange)(3),1,color(orange)(8)],[0,0,color(blue)(4),0],[color(orange)(2),color(orange)(8),3,color(orange)(1)],[color(orange)(0),color(orange)(7),-4,color(orange)(2)]]=#

#=4*(-1)^(2+3)*[[5,3,8],[2,8,1],[0,7,2]]#

#=-4*[80+112-(35+12)]=-4*[192-47]=-4*145=-580#