Let G a graph of order 8 with V (G) = {v1, v2, . . . , v8} such
that deg vi = i for 1 ≤ i ≤ 7. What is deg v8? Justify your
answer.
Please show all steps thank you
v1=[0,1,4] v2=[-4,-5,7] v3=[14,10,8] b=[16,18,19].
Let v1,v2, and v3 be three nonzero vectors in R3. Suppose v2 is
not a scalar multiple of either v1 or v3 and v3 is not a scalar
multiple of either v1 or v2. Does it follow that every vector in R3
is in span{v1,v2,v3}?
let l be the linear transformation from a vector space V where
ker(L)=0 if { v1,v2,v3} are linearly independent vectors on V prove
{Lv1,Lv2,Lv3} are linearly independent vectors in V
If {v1, v2, v3, v4} is a linearly-independent subset of a
vector space V over the field Q, is the
set {3v1 + 2v2 + v3 + v4, 2v1 + 5v2, 3v3 + 2v4, 3v1 + 4v2 +
2v3 + 3v4} linearly independent as well?
consider the vectors:
v1=(1,1,1)
v2=(2,-1,1)
v3=(3,0,2)
v4=(6,0,4)
a)find the dimension and a basis
W=Span(v1,v2,v3,v4)
b) Does the vector v=(3,3,1) belong to W. Justify your answer
c) Is it true that W=Span(v3,v4)? Justify your answer
V1
V2
V3
V4
V1
1.0
V2
.27
1.0
V3
-.13
.65
1.0
V4
.20
-.15
-.72
1.0
IN THIS EXERCISE, YOU WILL SEE A CORRELATION MATRIX. EXAMINE THE
MATRIX AND ANSWER THE QUESTIONS THAT FOLLOW.
1. Which two variables have the strongest (largest)
relationship?
2. Which two variables have the weakest (smallest)
relationship?
3. Which two variables have the strongest positive
relationship?
4. which two variables have the stronger negative
relationship?
5. Which two variables have the weakest positive...
1.) Find the sum V in cartesian and polar coordinates of V1=1000
m/s, V2=1800 m/s 2.) Find the difference of V in polar and
cartesian coordinates for V3= 800 m/s and V4= 1400 m/s. The angles
are angle1= 35 deg, angle2= 60 deg, angle3= 130 deg, angle4= 340
deg.
Let v1 = [-0.5 , v2 = [0.5 , and
v3 = [-0.5
-0.5 -0.5 0.5
0.5 0.5 0.5
-0.5] 0.5] 0.5]
Find a vector v4 in R4 such that the
vectors v1, v2, v3, and
v4 are orthonormal.