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Asked Feb 24, 2020
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8. Prove that the map L: M3(F) → F given by A→ Trace(A) is a linear
functional.
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8. Prove that the map L: M3(F) → F given by A→ Trace(A) is a linear functional.

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Expert Answer

Step 1

Note:

Properties of trace:

Let A and B be two matrices.

  • trace(A+B) = trace(A) + trace(B).
  • trace(αA) = α trace(A), where &alpha...

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