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:
24 blue cars
Step-by-step explanation:
Set up a proportion to solve this...
40/5 = x/3 (forty red cars is to five red cars as 'x' number of blue cars is to 3 blue cars)
Now solve by cross multiplying...
120 = 5x
24 = x
Answer:
Number A. is True. B. is False. C. is IDK D. is False. E. is true.
Step-by-step explanation:
If you read it you can tell plus I broke it down and solved it on paper.
Number D is the correct answer I think
Answer:
81
Step-by-step explanation:
A composite number has factor more than just one and itself.
Factors of 81=
1, 3, 9, 27, 81