Question

Evaluate the determinant of the matrix

Answer 1

if it's a 2x2 matrix :
\[\left|\begin{array}{ccc} a & b \\ c & d\end{array} \right|=ad-bc\]

if it's a 3x3 matrix :
\[\left|\begin{array}{ccc} a & b & c \\ d & e & f \\ g& h & i \end{array} \right|=a\left|\begin{array}{ccc} e & f \\ h & i \end{array} \right|-b\left|\begin{array}{ccc} d & f \\ g & i \end{array} \right|+c\left|\begin{array}{ccc} d & e \\ g & h\end{array} \right|\\\qquad\qquad \quad =a(ei-fh)-b(di-fg)+c(dh-eg)\]

Answer 2

@Ammarah what matrix do you have to evaluate?

Answer 3

i dont get the 3 by 3

Answer 4

Did you post the matrix you have to solve yet? I can show you how to find the determinant.

Answer 5

ok hold on

Answer 6

That's the matrix? Are you sure you don't have to just multiply that? Multiplying two matrices is not the same as finding the determinant of an \(n \times n\) matrix

Answer 7

how do i do that