+0

# Matrices

-3
98
3
+115

Hey guys! I need help this this question:

Given that $$\begin{vmatrix} a & b & c \\ d & e & f \\ g & h & i \end{vmatrix} = -24$$, find $$\begin{vmatrix} a & d & g \\ b & e & h \\ c & f & i \end{vmatrix}$$. I tried constructing a matrix with a determinant of 24 but couldn't find one. Does anyone have ideas?

May 30, 2020

#1
+30947
+2

Look very carefully at the terms on the right-hand side of equations (1) and (2) below.  What do you notice?

May 30, 2020
#3
+115
0

Oh! That's a really cool. So does that mean if you rotate a matrix, its determinant stays the same?

somebody  May 30, 2020