Answer:
Exact Form-9+√69÷6
Decimal form-2.88443731
Step-by-step explanation:
Since the multiplication between two matrices is not <em>commutative</em>, then 
, regardless of the dimensions of 
.
<h3>Is the product of two matrices commutative?</h3>
In linear algebra, we define the product of two matrices as follows:
, where 
, 
and 
(1)
Where each element of the matrix is equal to the following dot product:
![c_{ij} = \left[\begin{array}{cccc}a_{i1}&a_{i2}&\ldots&a_{ip}\end{array}\right]\,\bullet\,\left[\begin{array}{ccc}b_{1j}\\b_{2j}\\\vdots\\b_{pj}\end{array}\right]](https://tex.z-dn.net/?f=c_%7Bij%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7Da_%7Bi1%7D%26a_%7Bi2%7D%26%5Cldots%26a_%7Bip%7D%5Cend%7Barray%7D%5Cright%5D%5C%2C%5Cbullet%5C%2C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db_%7B1j%7D%5C%5Cb_%7B2j%7D%5C%5C%5Cvdots%5C%5Cb_%7Bpj%7D%5Cend%7Barray%7D%5Cright%5D)
, where 1 ≤ i ≤ m and 1 ≤ j ≤ n. (2)
Because of (2), we can infer that the product of two matrices, no matter what dimensions each matrix may have, is not <em>commutative</em> because of the nature and characteristics of the definition itself, which implies operating on a row of the <em>former</em> matrix and a column of the <em>latter</em> matrix.
Such <em>"arbitrariness"</em> means that <em>resulting</em> value for 
will be different if the order between and 
is changed and even the dimensions of 
may be different. Therefore, the proposition is false.
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If at the end of the study, the sociologist had a sample of 500 expectant parents and he estimates that there are 6 million expectant parents in the United States then the value of n is 500.
Given that the sample size is 500 and the number of expectant parents be 6 million.
We are required to find what n represents and value of n.
The value of n is 500. Small n shows the sample size and capital N shows the size of population.
Sample is that part of the population that represents the characteristics of the whole population.
Population is the number of individuals present in the area which a researcher wants to observe.
Hence if at the end of the study, the sociologist had a sample of 500 expectant parents and he estimates that there are 6 million expectant parents in the United States then the value of n is 500.
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AT&T= 2 years Verizon= 7 years, I hope this helps
