Answer:
Step-by-step explanation:
Given are three vectors in set B.
To show that B is dependent
The determinant
![\left[\begin{array}{ccc}1&0&1\\0&1&2\\2&-1&0\end{array}\right] \\=1(2)-1(2) =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%261%262%5C%5C2%26-1%260%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D1%282%29-1%282%29%20%3D0)
Hence vectors are dependent
b) The given equation 
Let us try parametrically
These 3 vectors are collinear and hence equation would be
c) Basis for B would be only 2 dimensional
i.e. any two vectors out of 3 form basis
The basis would be (1,0,1) and (0,1,2)
Answer:
2
Step-by-step explanation:
Please Mark me brainliest
The starting equation is
100=S+D+K
S is for Sarah, D is for Dave, and K is for Kate
This is what we know:
S=15+D
and
K=D-5
Now that we know how to find the values of everything, we must plug it in.
100=(15+D)+D+(D-5)
Combine like terms.
100=10+3D
Subtract 10 to isolate variable.
90=3D
Divide by 3 to isolate variable.
30=D
Plug in number to find the answers.
Answer:
Sarah worked for 45 hours
Dave worked for 30 hours
Kate worked for 25 hours
Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE
