Answer:
Step-by-step explanation:
It is a result that a matrix 
is orthogonally diagonalizable if and only if is a symmetric matrix. According with the data you provided the matrix should be
We know that its eigenvalues are 
, where 
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices 
that diagonalizes the matrix so.
and
Observe that the rows of 
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below
Answer:
It's 4800, just multiply 60x80 bc the population is 80x larger than the sample of 100
ANSWER
My answer is in the photo above
EXPLANATION
For all the equations I have used the cross multiplication method although you can also use the LCM method
In this sequence, we're given the first term, which is 45.
The difference between each term is -3, which means 3 will be subtracted in each term.
We're asked to find the value of the tenth term, and we can do so by using this formula:
a(n) = a(1) + d(n - 1)
Replace values.
a(10) = 45 + -3(9)
a(10) = 18
<h3>The value of the tenth term is 18.</h3>
Answer:
<h2> There is no slope.</h2>
Step-by-step explanation:
It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.
(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>
{the line is parallel to Y-axis, and has an equation: x=-4}
