For the linear system: 2x-4y-5z+3w=12, 3x-8y+13z-w=-5, -5x+6y-7z+w=2, and 7x+4y-3z-2w=1.?

Question

a) write down the system in the matrix from AX=B
b) obtain the determinant and inverse of A
c) compute the matrices: A^2,A^3,(A^-1)^2,(A^-1)^3 and thier determinants.
d)solve the system

Please help.

Answer 1

For the matrix see here http://img187.imageshack.us/img187/4682/document1ko3.png

Computing the determinant and the inverse of a 4x4 matrix is too much work for me now, but you can find instructions here

http://en.wikipedia.org/wiki/Inverse_matrix

Answer 2

i hate math a lot... it makes me feel really sicked..