Let [A] be a general tensor described in two dimensional Cartesian coordinates (x¹, x²) = (x, y). Find the transformation equations for the components of [A₁] to a space described by coordinates (x¹, x2) = (u, v). The two coordinate systems are related by x(u, v) y (u, v) = = u + uv² v²u.

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Let [A] be a general tensor described in two dimensional Cartesian coordinates (x¹, x²) =
(x, y). Find the transformation equations for the components of [A] to a space described
by coordinates (x¹, x²) = (u, v). The two coordinate systems are related by
x(u, v)
y (u, v)
=
u+uv²
v²_u.
Transcribed Image Text:Let [A] be a general tensor described in two dimensional Cartesian coordinates (x¹, x²) = (x, y). Find the transformation equations for the components of [A] to a space described by coordinates (x¹, x²) = (u, v). The two coordinate systems are related by x(u, v) y (u, v) = u+uv² v²_u.
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