Answer:
1 year , 9 months or 21 months
Step-by-step explanation:
that is the solution above
the sum of three numbers is 45. the second of the three numbers is three more than twice the first number, x. the third number i
s two more than the first number, x. which equation can be used to solve for the first number, x?
2 answers:
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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
For this case we have the following system of equations:
From the first equation we clear "x":
We substitute in the second equation:
We apply distributive property:
We add similar terms:
We add 65 to both sides:
We divide between 22 on both sides:
We look for the value of the variable "x":
Thus, the solution of the system is:
ANswer: