Answer: Repeating per irrational.
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
You cannot factor it any further as it is in its simplest factored form. There is no common factor in either the term (25x^2) or (9y^2) that you can pull out so it cannot be simplified. Hope this helps
Answer:
B and D
Step-by-step explanation:
A terminating decimal differs from a repeating decimal in that ; terminating decimals have a finite number of numbers after a decimal point whereby repeating decimals Don not have a fine number of numbers after the decimal point.
Given :
A. 2/7 = 0.2857...
B. 3/2 = 1.5
C. 2/3 = 0.6666...
D. 3/5 = 0.6
E. 5/9 = 0.5555...
B and D are terminating decimal values.