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LG SI-G5X5 USB Driver By: unknown. lg infineon sgold3 tool v.2.3.0.1 Free Download.Q:\n\nSome linear transformations are given by summation, others are not?\n\nQuestion 1\n\nI've been wondering the basics of linear transformations. Let $T: \\mathbb R^3 \\to \\mathbb R^2$ be given by $T(x,y,z) = (x+y, x+z)$, $x,y,z \\in \\mathbb R$.\n  Is $T$ an isomorphism?\n  \n  Well, from calculating the kernel of $T$:\n  $$\\ker(T) = \\{(x,y,z) \\in \\mathbb R^3 : (x+y) + (x+z) = x+y+z\\} = \\{0\\}.$$\n  Then it seems that $T$ is an isomorphism:\n  $$\\text{id}_{\\mathbb R^3} \\circ T = \\text{id}_{\\mathbb R^3} \\circ (x+y, x+z) = T$$\n  and $\\text{id}_{\\mathbb R^3}$ being a natural isomorphism between the identity functor and itself, we know that $T$ is an isomorphism.\n  I've also been wondering the basics of linear transformations. 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