Question: Differential Geometry - Please solve with clear procedure. Thank you Q3 (10 points) A new coordinate system; B; is the defined as follows. The coordinates

Differential Geometry - Please solve with clear procedure. Thank you

Q3 (10 points) A new coordinate system; B; is the defined as follows. The coordinates of a point P(xo, yo, Zo) in B is (P)B = (a, b, c) if Xo + yo + zo = a, xo + 2yo + 3zo = b, xo + 3yo + 4zo = C. 1- Show that S is a well defined coordinate system. 2- Find the coordinate of P(1, 1, 1) in B

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