Answer:
p ∈ IR - {6}
Step-by-step explanation:
The set of all linear combination of two vectors ''u'' and ''v'' that belong to R2
is all R2 ⇔
And also u and v must be linearly independent.
In order to achieve the final condition, we can make a matrix that belongs to
using the vectors ''u'' and ''v'' to form its columns, and next calculate the determinant. Finally, we will need that this determinant must be different to zero.
Let's make the matrix :
![A=\left[\begin{array}{cc}3&1&p&2\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%26p%262%5Cend%7Barray%7D%5Cright%5D)
We used the first vector ''u'' as the first column of the matrix A
We used the second vector ''v'' as the second column of the matrix A
The determinant of the matrix ''A'' is

We need this determinant to be different to zero


The only restriction in order to the set of all linear combination of ''u'' and ''v'' to be R2 is that 
We can write : p ∈ IR - {6}
Notice that is
⇒


If we write
, the vectors ''u'' and ''v'' wouldn't be linearly independent and therefore the set of all linear combination of ''u'' and ''b'' wouldn't be R2.
Answer:
.29 per ounce
Step-by-step explanation:
divided the cost by the amount
4.68/16
Answer:
2x-6
Step-by-step explanation:
twice a number is

6 less than twice a number is
6 less than 2x and that is

Answer: See attached, the top right
Step-by-step explanation:
<u>What is an outlier?</u> An outlier, in a data set, is a data value that is outside the overall pattern of distribution.
This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.
Answer:
36 tiles
Step-by-step explanation:
First, find area of the square floor knowing the formula as;
Area= 
where s= side of a square.
If one side of the floor is 12 feet, then Area= 
Next, find the area of each tile using the same formula and given s=2 feet;
Area(tile) = 
To find the number of tiles needed to cover entire floor, divide area of the floor by area of one tile; 144 / 4 = 36 tiles