Question

Asked Dec 28, 2019

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Prove that det : M2×2(F) →F is a 2-linear function of the columns of a matrix.

Step 1

It is required to prove that

Det: M_{2×2}(F) -> F is a 2- linear function of the columns of a matrix.

To prove this, it is enough to show that

Step 2

Now, find **u+kv**

Step 3

So, first evaluate the left-...

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