The linear transformation is given as $T: M_{3,3} \to M_{3,3}$ defined by $T(A) = 1/2(A+A^T)$. This is also known as the symmetrization operator.
2025-01-13 05:17:39.1736745459
Linear transformation $T: M_{3\times3}\to M_{3\times3}$ defined by $T(A) = 1/2(A+A^{\top})$. Determine a basis for the kernel of this mapping.
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Hint: The question is asking the following: which matrices $A$ satisfy $T(A) = 0$? The answer is that this only occurs for matrices that satisfy...?