10 pts Question 1 1 1 -1 , what is the formula for det A if we apply cofactor expansion If A = a 6 C d f across the first row of A? O b det A = e O b det A = e b det A = b e det A = 6 4 - a ;+ 2 2 C det A = a d el- la s- le f O a b a C det A = to d el + d eQuestion 2 10 pts a 6 C Let A = de f and suppose det A = 6. gh 2 a+ 2d bthe c+ 2f What is d e ? g h Question 3 10 pts a b C Let A = def and suppose det A = 6. gh i g h What is d + 2a e+ 2b f+ 2c ? a b CQuestion 4 10 pts a b Let A = de and suppose det A = 6. g i a 3d g What is b 3e h ? c 3f iQuestion 5 10 pts Recall that men is the set of all m x n, matrices, with real entries. This is a vector space, with the usual matrix addition and matrix scalar multiplication. Let F be a xed 3 X 4 matrix and let HF be the set of matrices A in ng3 such that AF:[0000]. 0000 Which is true? 0 HF is not a subspace of ng3 since it does not contain the zero vector. 0 HF is not a subspace of ngg since it is not closed under addition. 0 HF is not a subspace of ng3 since it is not closed under scalar multiplication. 0 HF is a subspace of ngg. Question 6 10 pts Let H be the subset of R3, with the usual addition and scalar multiplication, consisting of all vectors a. oftheform b ,fora,bRwitth 0 CL Which is true? 0 H is not a subspace of R3 since it is not closed under scalar multiplication. O H is not a subspace of R3 since it does not contain the zero vector. 0 H is not a subspace of R3 since it is not closed under addition. 0 H is a subspace of R3