Asked Dec 28, 2019

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


Expert Answer

Step 1

It is required to prove that

Det: M2×2(F) -> F is a 2- linear function of the columns of a matrix.

To prove this, it is enough to show that

Advanced Math homework question answer, step 1, image 1
Step 2

Now, find u+kv

Advanced Math homework question answer, step 2, image 1
Step 3

So, first evaluate the left-...

Advanced Math homework question answer, step 3, image 1

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