oach of this section is certainly not the only way to construct C. We could also view C as a special set of 2 x 2 matrices. (We will not burden ourselves by giving a formal definition of a matrix.) (i) Check that is really matrix-vector multiplication: (x, y) (u, v) = (xu-yv, xv + yu) (ii) Now put = R2X² :=< [xu- yv] -Y [+][4]0-30) v xv + yu = y = U V ~](). = { [~ 7] | ₁₁ VER} x, and check that C (as defined in Definition 1.4.5) and R2x2 are isomorphic as fields, where
oach of this section is certainly not the only way to construct C. We could also view C as a special set of 2 x 2 matrices. (We will not burden ourselves by giving a formal definition of a matrix.) (i) Check that is really matrix-vector multiplication: (x, y) (u, v) = (xu-yv, xv + yu) (ii) Now put = R2X² :=< [xu- yv] -Y [+][4]0-30) v xv + yu = y = U V ~](). = { [~ 7] | ₁₁ VER} x, and check that C (as defined in Definition 1.4.5) and R2x2 are isomorphic as fields, where
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 1SE: In a previous section, we showed that matrix multiplication is not commutative, that is, ABBA in...
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