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- #1

- Feb 5, 2012

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Here's a problem that I have trouble understanding. Specifically I am not quite getting what it means by the expression \(\alpha (t)(v)\). Hope somebody can help me to improve my understanding.

**Problem:**

Let \(\alpha\) be the canonical isomorphism from \(V^*\otimes V\) to \(L(V,\, V)\). Find \(\alpha(t)(v)\) where \(t=(e^1+e^2)\otimes (e_3+e_4)\) and \(v=2e_1+3e_2+2e_3+3e_4\).