shortcutmath.com S S S D S S S S S S S S S D S record/screenshot/ description of the issue to report after the test. Tokamak Fusion Test Reactor (TFTR) shut down in 1997 after fifteen years of operation. Princeton Plasma Physics Laboratory used thuknowledge from TFTR to begin studying another approach, the spherical tokamak In old design there is one "ring" of plasma: ever ploidel magnetic feld cal's cal current outer polidal magnetic field coils plesara current In new spherical tokamak we can imagine multiple plasma "half-rings" (or "D-shapes") moving along the big central conductor (column) and then through half of the spherical shell. Scientists may apply TFTR (old) experience to each of such plasmatic "D-shapes". For simplicity, let's talk about just two of them: S[1] [0]S S S D S S S S S S S S S S D S conductor (column) and then through half of the spherical shell. Scientists may apply TFTR (old) experience to each of such plasmatic "D-shapes". For simplicity, let's talk about just two of them: Let the first one be in a standard system of coordinates with basis ,}} -{ . } (standard basis) , accordingly, another "D-shape" might be in a different system of coordinates with basis D = {d 1, d2} = {[ 12). (in reality each of the plasmatic."D-shape" wil have not 2 but 200 parameters asigned but we restrict ourselves to two dimensional space to be able to focus on the logic and theory). Also assume there is some kind of transformation T' on plasma described with the matrix TE This matrix was derived and adjusted from years of expensive (and dangerous) experiments with the previous generation of Tokamaks. Now the scientists want to know how this transformation matrix looks like in D space/system of coordinates. There are two ways to figure it out. To perform additional experiments on new equipment (estimated price $37,000,000) or hire a Mathematician (- $5,000)... How about YOU calculate TD - matrix of the transformation relative to D (in basis D) ? TD = [When you'll be working on such a problem in real world settings with 200-dimentional (or maybe 2,000 - dimensional) spaces... you'll be paid and free to use whatever tools you want. In this 2-dimentional model though you're not allowed to use matrix calculators ( and will not be paid, sorry). Please, perform all the calculations "by hand" and Show Your Work! ]