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
The correlation coefficient for the data in the table was found to be 0.93.
The correct option is A.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient focuses on the linear relationship between two variables.
Given
The first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, 1.6.
The second column is labeled bill amount (in dollars) with entries 235, 867, 156, 215.
The numbers between -1 and 1 should be one of the values related to the bill.
Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.
Hence, The correlation coefficient for the data in the table was found to be 0.93.
To know more about correlation coefficient click the link given below.
brainly.com/question/26197675
Answer:
364 calories
Step-by-step explanation:
1/2 of 240=120 calories
fruit platter =210 calories
1/3 of 102=34
120+210+34=364 calories
A. x = 7, y = 4, z = 3
How?
Just plug in the numbers.
7 + 4 + 3 = 14
11 + 3 = 14
14 = 14
Next.
4 + 3 = 7
Next.
3 = 3
—1/4, 0, 0.14, 1/4, 1, 1.4
