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13 Nov 2019
Q12. Let V M2x2(R). Define a function F V V by the formula F(A) AT - A for every matrix A in V (a) What is dim(V)? (just the value of dim(V), not the definition.) (b) Prove that F is a linear map. (c) Find a basis for ker(F) (d) What is dim(ker(P))? (e) What is dim(im(F))? (Hint. You can answer this part without finding im(F))
Q12. Let V M2x2(R). Define a function F V V by the formula F(A) AT - A for every matrix A in V (a) What is dim(V)? (just the value of dim(V), not the definition.) (b) Prove that F is a linear map. (c) Find a basis for ker(F) (d) What is dim(ker(P))? (e) What is dim(im(F))? (Hint. You can answer this part without finding im(F))
24 Dec 2022
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Deanna HettingerLv2
9 May 2019
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