Is it possible to introduce a scalar product (set the Gram matrix) so that the linear transformation given by the matrix $\pmatrix{3&2&-2\\0&2&1\\0&0&3}$ becomes normal?
2026-04-01 02:48:29.1775011709
Is it possible to introduce a scalar product (set the Gram matrix)
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The answer is yes. $A$ is diagonalizable, so it suffices to select an eigenbasis of $A$ is and take the scalar product relative to which this basis is orthonormal.