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Mathematics 6 Online
OpenStudy (anonymous):

how do you evaluate determinant?

OpenStudy (anonymous):

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?

OpenStudy (anonymous):

yea but idont know how to but them the numbers on top of each other

OpenStudy (anonymous):

*put

OpenStudy (anonymous):

For the matrix \[\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\] The determinant is: a*d-b*c

OpenStudy (anonymous):

my problem are just straight lines

OpenStudy (anonymous):

is it the same thing

OpenStudy (anonymous):

?

OpenStudy (anonymous):

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)

OpenStudy (anonymous):

Yes. If it has the brackets, that's the matrix. If it has the straight lines, that is the determinant of the matrix.

OpenStudy (anonymous):

|dw:1355355557640:dw|

OpenStudy (anonymous):

that's the problem

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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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