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:
Month 8
In this month Company B's plan will pay $64,000 versus $45,000 from Company A.
Step-by-step explanation:
Start by calculating the monthly payments for both plans.
Month - Company A - Company B
1 $10,000 $500
2 $15,000 $1,000
3 $20,000 $2,000
4 $25,000 $4,000
5 $30,000 $8,000
6 $35,000 $16,000
7 $40,000 $32,000
8 $45,000 $64,000
9 $50,000 $128,000
10 $55,000 $256,000
11 $60,000 $512,000
12 $65,000 $1,024,000
13 $70,000 $2,048,000
14 $75,000 $4,096,000
15 $80,000 $8,192,000
16 $85,000 $16,384,000
17 $90,000 $32,768,000
18 $95,000 $65,536,000
19 $100,000 $131,072,000
20 $105,000 $262,144,000
21 $110,000 $524,288,000
22 $115,000 $1,048,576,000
23 $120,000 $2,097,152,000
24 $125,000 $4,194,304,000
I do not have a video but to convert a fraction to a decimal, you divide the numerator by the denominator or make the denominator equal to one hundred. For example, to convert 1/5 to a decimal, you write 1/5 as 20/100, which as a decimal is written as .2
Where is it? In order to help you I need to see what the problem is.
