how do you evaluate determinant?
You multiply all the numbers in the down diagonals and subtract the product of the numbers in the up diagonals. That will probably be extremely unclear, do you have a matrix problem to solve or should I get a random one?
yea but idont know how to but them the numbers on top of each other
*put
For the matrix \[\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\] The determinant is: a*d-b*c
my problem are just straight lines
is it the same thing
?
For matrix: \[\left[\begin{matrix}a & b&c \\ d & e&f\\g&h&k\end{matrix}\right]\] The determinant will be represented by straight lines instead of the matrix brackets and is calculated as: (a*e*k+b*f*g+c*d*h) - (g*e*c+h*f*a+k*d*b)
Yes. If it has the brackets, that's the matrix. If it has the straight lines, that is the determinant of the matrix.
|dw:1355355557640:dw|
that's the problem
The solution is: [ (-7)(6)(4)+(-2)(1)(4)+(-1)(3)(4) ] - [ (4)(6)(-1)+(4)(1)(-7)+(4)(3)(-2) ] [ -168-8-12 ] - [ -24-28-24] -188+76 -112
To make it easier to follow the operations, you can re-write the first two columns at the end and see the sequence of operations easier. |dw:1355356206403:dw|
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