Answer:
See proof below.
Step-by-step explanation:
True
For this case we need to use the following theorem "If are eigenvectors of an nxn matrix A and the associated eigenvalues are distinct, then are linearly independent". Now we can proof the statement like this:
Proof
Let A a nxn matrix and we can assume that A has n distinct real eingenvalues let's say
From definition of eigenvector for each one needs to have associated an eigenvector for
And using the theorem from before , the n eigenvectors are linearly independent since the are distinct so then we ensure that A is diagonalizable.
Answer: since LP is half a line and PN is also half a line, then LP and PN are equal
So PN=6
Answer:
The required hypothesis to test is and .
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as . Thus the null hypotheses is shown as:
The alternative hypotheses is represents as . Thus the alternative hypotheses is shown as:
Hence, the required hypothesis to test is and .
Answer:
2c =0
Step-by-step explanation:
2c + 1 =1,
Lets solve for c
Subtract 1 from each side
2c+1-1 =1-1
2c =0
Divide by 2
2c/2 =0/2
c=0
2c=
2(0)
=0
This is what you need to find the answer
$29.95+$1.50(533)+(533/16)($2.15)
=$901.07