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:
7.2^6
Answer: He bought 7 pens.
Step-by-step explanation:
21/3 = 7
Answer:
∠ABE and ∠CBD
∠ABC and ∠EBD
Step-by-step explanation:
we know that
<u>Vertical Angles</u> are the congruent angles opposite each other when two lines cross
so
In this problem we have that
m∠ABE=m∠CBD ----> by vertical angles
m∠ABC=m∠EBD ----> by vertical angles
therefore
The angles that are vertical angles are
∠ABE and ∠CBD
∠ABC and ∠EBD
