Answer:
Step-by-step explanation:
Given that A is a square matrix and A is idempotent

Consider I-A
i) 
It follows that I-A is also idempotent
ii) Consider the matrix 2A-I

So it follows that 2A-I matrix is its own inverse.
The answer is C because it’s the only answer that could be correct.
Answer:
See Explanation
Step-by-step explanation:
<u>Define the variables</u>
Let the entry fee be c and the hourly rate be m
Let the number of hours be x and the total amount be y
<u>Work to solve</u>
For Sami's skate
and 
For Brad's skate
and 
<u>The equations</u>
The equation is derived using: 
For Sami's skate

For Brad's skate

<u>When the cost are the same</u>
To do this, we equate both expressions
i.e.




i.e. the cost are the same at the 4th hour
<u>What is the cost</u>
Substitute 4 for x in any of the equations



<em>The cost is $14.00</em>
Answer:
3/4 of a 6-ounce glass will be drunk by her in one hour.
Step-by-step explanation:
Given time = 2/3 of hour
= 2/3 (60) As hour = 60 mins
= 120/3
= 40 mins
Given quantity of water = 1/2 of 6-ounce
= 3 ounce
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is 3/40
In 60 mins, water in take is (3/40)*60 = 4.5 ounce
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
I hope it will help you.
Answer:
5.5 liters
Step-by-step explanation: there are 1000 milliliters in a liter, so divide 5,500/1000