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:
a=2,3
Step-by-step explanation:
Just minus 5 feet from the new height which is 13ft, and the equation will be 13-5, and therefore the tree grew 8 feet
Hello!
Let's put this as a system of equations.
r= 8+g
r+g=14
Let's plug our r value into the second equation and solve for g.
8+g+g=14
8+2g=14
Now we subtract 8 from both sides.
2g=6
We divide both sides by 2.
g=3
Therefore, he has 3 green peppers.
I hope this helps!