Basis & Dimension important questions📚 |Basis & dimension for csir net| vector space linear algebra

Basis and Dimension important questions
Basis and dimension for csir net
vector spaces linear algebra

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Double Integral over the area bdd by the Ellipse [Note:It is pi(a²+b²)ab/4 in the required answer]

Find the image of an infinite strip under transformation w = 1/z.       CONFORMAL MAPPING

Show that |z|² only differentiable at origin |Analyticity of a complex function | Complex Analysis