Determine if the vectors v1 = (2, −1, 0, 3), v2 = (1, 2, 5, −1), v3 = (7, −1, 5, 8) are linearly independent vectors in R4 .
Verdich [7]
Answer with Step-by-step explanation:
We are given that three vectors
We have to determine the given vectors are linearly independent in 
and write 
as linear combination of other two vectors if the vectors are dependent.
To find the linearly dependent we will use matrix.
![\left[\begin{array}{cccc}2&-1&0&3\\1&2&5&-1\\7&-1&5&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D2%26-1%260%263%5C%5C1%262%265%26-1%5C%5C7%26-1%265%268%5Cend%7Barray%7D%5Cright%5D)
If m=Number of rows, n=Number of columns then,
Rank of matrix=min(m,n)
Rank of matrix=min(3,4)
Rank of matrix=3
Dimension of 
Rank
Therefore, it is linearly dependent .
Answer:
Step-by-step explanation:
<h2>•|◉ jess ◉|•</h2>
<h3>#keep learning</h3>
I would divide each side of the equation by 4.
The correct answer is Choice A: 1/6
If you look at the table, there are 6 spots where the 2 numbers are the same. They are in a diagonal row from the bottom left to the top right.
6 out of 36 makes the fraction 6/36 which is 1/6
You can use the ordered pairs to describe the translation that took place.
If you choose any vertex, you can use that to describe the translation that occurred with all vertices.
I'll look at N. Vertex N moved to the right 5 and up 7.
You can use the beginning and ending ordered pairs to see these distances.
Start: (-1, -1)
End: (4, 6)
-1 to 4 is 5 units
-1 to 6 is 7 units
