Question

Prove that the laplacian operator is isotropic (rotation invariant) matrixx

Answer 1

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$<b>$So if a function is harmonic in the variables (x, y), it must also be harmonic in the variables (x/,y/). This is the invariance under translations. ... Thus, Laplace's operator is invariant under rotations in two dimensions.

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Answer 2

Answer:

Explanation:hey

if a function is harmonic in the variables (x, y), it must also be harmonic in the variables (x/,y/). This is the invariance under translations. ... Thus, Laplace's operator is invariant under rotations in two dimensions.