Question

If 4 is the determinant of matrix A, what is arcdet(A)?

Answer 1

What is arcdet?

Answer 2

The determinant of arcA

Answer 3

what is arc A? The inverse?

Answer 4

surprisingly
1/4

Answer 5

people use arcA to talk about matrix inverse?

Answer 6

Ok so will it always be 1/A?

Answer 7

the determinant of the inverse is the inverse of the determinant.

Answer 8

1/det(A)

Answer 9

Thanks zzr0ckey

Answer 10

fo shee z

Answer 11

Yep. Since:\[AA^{-1}=I\]Taking determinants yields:\[\det(AA^{-1})=\det(I)\Longrightarrow \det(A)\det(A^{-1})=1\]\[\Longrightarrow \det(A^{-1})=\frac{1}{\det(A)}\]

Answer 12

A*A^-1 =1
det(A8A^-1) = det(1)

Answer 13

bah* your to fast:)

Answer 14

lol :)