MathAlgebraLinear algebraLinear operators

Linear operators and matrices

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Let $T \in L(\mathbb{R}^n, \mathbb{R}^m)$ .

What is the matrix of $T$ ?

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[T] = \left[ e_n \, |\, \dots |\, e_1 \, \right]

[T] = \left[ e_1 \, |\, \dots |\, e_n \, \right]

[T] = \left[ T(e_n) \, |\, \dots |\, T(e_1) \, \right]

[T] = \left[ T(e_1) \, |\, \dots |\, T(e_n) \, \right]

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