The answer is sometimes true
Answer:
I.
A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4
Null space is exactly two dimensional plane
dim null (A) = 2
II.
Rank A = dim U - dim Null A = 5 - 2 = 3
III.
Number of linearly Independent columns of A is the rank of A = 3
IV.
Yes, The system Ax = b has no solution sometimes as range of A \neq V
V.
Yes,Sometimes Ax = b has a unique solution
VI.
Yes, sometimes Ax = b has infinitely many solutions
The table tells you that f(x)=0 at x=-6 and -2
Lets make a known and an unknown chart:
KNOWN: Fifteen $5 bills.
UNKNOWN: How much is that?
So to find the answer to this, we are going to do 5+5+5+5+5+5+5+5+5+5+5+5+5+5+5=??
The answer is $75.
~Hope I helped!~
