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.
Answer:
Let us say x is a real number and z = a + ib is complex
|x| > 0
|z| = |a + ib| = square-root (a^2 + b^2)
Step-by-step explanation:
|x| > 0 the absolute value of a real number is a nonnegative real number
The |a + ib| = square-root of the sum of the squares of the real components of the complex number
Answer:
2n+22
Step-by-step explanation:
(n+11)2=
2n+22
Answer: 285.2 kg
Step-by-step explanation:
Given
The volume of helium in the balloon is 
The density of the helium is 
Mass of the helium gas is given by the product of density and volume

Thus, the mass of gas is 285.2 kg
Answer:
it was 345.
Step-by-step explanation:
Balance in your checkbook, $356
Balance on bank statement, $472
Service charge and other fees, $15
Interest earned on the account, $4
Total of outstanding checks, $187
Deposits in transit, $60