If the Jacobian g has a non-zero determinant, then f is " conformal in the generalized sense " with respect to one of the three angle types, depending on the real matrix expressed by the Jacobian g.
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However, BotCon exclusive comic " Primeval Dawn, Part 1 " states that the thing held by Optimus Primal is just a Matrix-shaped Spark chamber, the real Matrix is actually concealed in a compartment beneath the Spark chamber.
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For example, the real matrix M = \ begin { bmatrix } 0 & 1 \ \-1 & 0 \ end { bmatrix } has characteristic polynomial X ^ 2 + 1, which has no real roots, so there are no real eigenvalues.
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:: : Well, there are also many articles in the literature dealing with rational matrices, real matrices, and complex matrices, but would that be a sufficient reason to create articles " Rational matrix ", " Real matrix " and " Complex matrix "?
25.
The Hamilton quaternions are a quaternion algebra ( in the above sense ) over F = \ mathbb { R } ( the real number field ), and indeed the only one over \ mathbb { R } apart from the 2? real matrix algebra, up to isomorphism.
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