Classify all linear functions by showing that f : M(2×2)(F) → F is a linear function...

Question

Question

Classify all linear functions by showing that f : M(2×2)(F) → F is a linear function if and only if

f(A) = aA11 A22 + BA11A21 + 7A12A21 + PA12 A22 where a,ß, 7, 8€ F.

math Advanced-Math

Answer 1

Answer #1

given fi M. (f) ff F(A)= LA1, A22 + 3 All Azi + V A12Az te A12 A22 Considen f( a A+ 6B) = a(a Anto! dla Ay to B., )( a Azz +

I use definition of linear function to solve this problem

Answer 2

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