Question

True False questions. Make sure you EXPLAIN EACH ANSWER.

2.19) Suppose that W is a four-dimensional subspace of R7 that is spanned by {X1,X2,X3,X4}. Then one of the Xi must be a linear combination of the others.

2.20)Suppose that A is a 3 x 5 matrix such that the vectors X = [1,1,1,1,1]^t, Y= [0,1,1,1,1]^t, and Z = [0,0,1,1,1]^t belong to the nullspace of A.

2.20a) The rows of A are dependent.

2.20b) AX= B has a solution for all B in R3

2.20c) The solution to AX = B when it exists, is unique.

Answer 1