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
Answer:
-14
Step-by-step explanation:
subtract
Answer:
(c+3b)/8 = a
Step-by-step explanation:
c= 8a-3b
Add 3b to each side
c+3b= 8a-3b+3b
c+3b = 8a
Divide each side by 8
(c+3b)/8 = 8a/8
(c+3b)/8 = a