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a) The vector (-3,1,0,0,0)T is a basis vector for the null space of B. b) The ve

ID: 2980586 • Letter: A

Question

a) The vector (-3,1,0,0,0)T is a basis vector for the null space of B.

b) The vector (4,0,k,-1,0)Tis a basis vector for the null space of B, k being any real scalar.

c) The vector (-2,0,0,0,1)T is a basis vector for the null space of B.

d) A linear combination of (4,0,0,-1,0)T and (-2,0,0,0,1)T can form a basis vector for the null space of B.

e) The Nullity of B is 3.

f) None of the above.


PS: the answer is not the combination of a,d or just f

26-5-24 1, and ref(B) 0 0 0 1-1 005010 0 0 0 0 0 62 0010 0100 3000 1000 24 10 4 0 0 8 -2-550 25 3606 1202

Explanation / Answer

b) The vector (4,0,k,-1,0)Tis a basis vector for the null space of B, k being any real scalar