ANSWER: 8x^4 +64x^3 + 98x^2 +30x
Work in image.
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: 2 rational solutions
Step-by-step explanation:
When the discriminant, b² + 2a, is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7
Answer:
r = 16
Step-by-step explanation:
6/6 = r/16
6r = 96
/6 /6
r = 16
Answer:
(-4,-5)
Step-by-step explanation:
(x,y)... always x-axis first and then y-axis
