:: O-Matrix ::
 > Overview > Examples > Performance > Analysis Functions > Data Visualization > The O-Matrix Language > Data Manipulation/IO > Application Development > Using Matlab m-files

 EXPMATX.OMS Script File: ```# Description # Uses matrix exponential to compute sine and cosine functions. # clear # coefficient matrix for dy / dt = A * y A = { [ 0., 10. ] , [ - 10., 0. ] } # matrix exponential of A E = expmat(A, 1e-4, 6) # value of y(1) = sin(10 * t) and # y(2) = cos(10 * t) at t = 0. y = {0., 1.} # format for output format real "f10.5" # header for output header = "t, sin(10 * t), cos(10 * t), y(1), y(2)" header = align(header, ", ", [10, 11, 11, 11, 11]) write("screen", header) for i = 1 to 10 begin # value of time t = real(i) # value of y using matrix exponential y = E * y # write("screen", [t, sin(10 * t), cos(10 * t), y']) end ``` Output: ```t sin(10 * t) cos(10 1.00000 -0.54402 -0.83907 -0.54402 -0.83907 2.00000 0.91295 0.40808 0.91295 0.40808 3.00000 -0.98803 0.15425 -0.98803 0.15425 4.00000 0.74511 -0.66694 0.74511 -0.66694 5.00000 -0.26237 0.96497 -0.26237 0.96497 6.00000 -0.30481 -0.95241 -0.30481 -0.95241 7.00000 0.77389 0.63332 0.77389 0.63332 8.00000 -0.99389 -0.11039 -0.99389 -0.11038 9.00000 0.89400 -0.44807 0.89400 -0.44808 10.00000 -0.50637 0.86232 -0.50636 0.86232 ```