Question
In: Advanced Math
Work out the distance of the point [1, 0, 0, 0] from the subspace W =...
Work out the distance of the point [1, 0, 0, 0] from the subspace W = ker T, where T : R 4 → R 2 is the linear map with matrix A = {(1,2,2,0), (2,1,3,1)}
Solutions
Colby Messinger answered 2 years agoRelated Solutions
Compute the distance from the point x = (-5,5,2) to the subspace W of R3 consisting...
Compute the distance from the point x = (-5,5,2) to the subspace
W of R3 consisting of all vectors
orthogonal to the vector (1, 3, -2).
Let W be a subspace of Rn. Prove that W⊥ is also a subspace of Rn.
Let W be a subspace of Rn. Prove that W⊥ is also a
subspace of Rn.
Use Lagrange multipliers to find the distance from the point (2, 0, −1) to the plane...
Use Lagrange multipliers to find the distance from the point
(2, 0, −1)
to the plane
4x − 3y +
8z + 1 = 0.
The sound intensity is 0.0072 W/m2 at a distance of 20 m from an isotropic point...
The sound intensity is 0.0072 W/m2 at a distance of 20 m from an
isotropic point source of sound. (a) What is the power of the
source? (b) What is the sound intensity 6.1 m from the source? (c)
What is the sound level 20 m from the source?
The equation 2x1-3x2=5 defines a line in R2. a. Find the distance from the point w=(3,1)...
The equation 2x1-3x2=5 defines a line in R2.
a. Find the distance from the point w=(3,1) to
the line by using projection.
b. Find the point on the line closest to w by
using the parametric equation of the line through
w with vector a.
Determine whether or not W is a subspace of R3 where W consists of all vectors...
Determine whether or not W is a subspace of R3 where
W consists of all vectors (a,b,c) in R3 such that
1. a =3b
2. a <= b <= c
3. ab=0
4. a+b+c=0
5. b=a2
6. a=2b=3c
A particle moves from point A = (0, 0, 0) to point B = (2π, 0,...
A particle moves from point A = (0, 0, 0) to point B = (2π, 0,
2π), under the action of the force F = xi +
yj − zk .
a. Calculate the work done by the force F on
the particle if it moves along the conic-helical curve
r(t) = (t cost )i +
(t sint )j +
tk with 0 ≤ t ≤ 2π.
b. Find a parametric vector equation for the straight line
connecting A to...
Let W be a subspace of R^n, and P the orthogonal projection onto W. Then Ker...
Let W be a subspace of R^n, and P the orthogonal projection onto
W. Then Ker P is W^perp.
Determine whether or not W is a subspace of V. Justify your answer. W = {p(x)...
Determine whether or not W is a subspace of V. Justify your
answer.
W = {p(x) ∈ P(R)|p(1) = −p(−1)}, V =
P(R)
# O W L S f(O,W,L,S) 0 0 0 0 0 0 1 0 0 0...
#
O
W
L
S
f(O,W,L,S)
0
0
0
0
0
0
1
0
0
0
1
0
2
0
0
1
0
1
3
0
0
1
1
1
4
0
1
0
0
0
5
0
1
0
1
1
6
0
1
1
0
1
7
0
1
1
1
X
8
1
0
0
0
0
9
1
0
0
1
0
10
1
0
1
0
0
11
1
0
1
1
1
12
1...
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