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
4 is again c because you should put the 2 here 2a'2-1 so this is 2a'1 and this is 20 so
A2 is 20
Than you should again do this and find a3 ...
Answer:
(a) 
(b) 4 miles
Step-by-step explanation:
Given:
The sequence of run is an arithmetic sequence.
Miles traveled on day 1 = 1 mile
Miles traveled on day 7 = 2 miles
(a).
Explicit formula for an arithmetic sequence is given as:

Here, 
So,

Therefore, the explicit definition of the above sequence is given as:

Where,
is the miles covered on
day.
(b)
In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

Therefore, the number of miles covered by her on day 19 is 4 miles.
Answer:
Step-by-step explanation:
-2/5 - 4/5 + -9/10
= -2/5 - 4/5 - 9/10
= {-2(2) -4(2) - 9)/10
= (-4 - 8 - 9)/10
= -21/10
= -2 1/10
Answer:
The answer is 13/3.
Step-by-step explanation:
8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.