Which of the following sets are linearly independent?
A. { (1, 0) , (1, 1) ,...
Which of the following sets are linearly independent?
A. { (1, 0) , (1, 1) , (1-1) } in R2
B. { (1, 1, 1), (1,-1, 1), (-1, 1, 1) } in R3
C. { 1 + x, x, 2 + 3x } in P2
D. { [1 1 , [1 1
0 0] , 0 1] } in
M22
Select from the following:
1. Only A and C.
2. Only B.
3. Only D.
4. Only B and...
19. Which of the following sets of quantum number is not
allowed? A. n = 4,...
19. Which of the following sets of quantum number is not
allowed? A. n = 4, ℓ = 2, mℓ = -2 B. n = 5, ℓ = 0, mℓ = 0 C. n = 6,
ℓ = 3, mℓ = 1 D. n = 3, ℓ = 1, mℓ = −1 E. A–D are all allowed sets
of quantum numbers
Which of the following vectors are unit vectors with respect to
the inner product: <(x1, x2,...
Which of the following vectors are unit vectors with respect to
the inner product: <(x1, x2, x3) , (y1, y2, y3)> = 2x1y1 =
2x3y3 in R3?
A. (1, 0, 0) B. (1, 0, 0)/sqrt(2) C. (1,
0, 1)/sqrt(2) D. (1, 1, 0)/2
Select from the following:
1. Only A
2. Only B and D
3. Only A and C
4. All of A, B, C and D
5. None of the above
Thank you!
1)
Find a basis for the column space of A=
2 -4 0 2 1
-1...
1)
Find a basis for the column space of A=
2 -4 0 2 1
-1 2 1 2 3
1 -2 1 4 4
2) Are the following sets vector subspaces of R3?
a) W = {(a,b,|a|) ∈ R3 | a,b ∈ R}
b) V = {(x,y,z) ∈ R3 | x+y+z =0}
3. Which of the following sets spans P2(R)?
(a) {1 + x, 2 + 2x 2}...
3. Which of the following sets spans P2(R)?
(a) {1 + x, 2 + 2x 2}
(b) {2, 1 + x + x 2 , 3 + 2x + 2x 2}
(c) {1 + x, 1 + x 2 , x + x 2 , 1 + x + x 2}
4. Consider the vector space W = {(a, b) ∈ R 2 | b > 0} with
defined by (a, b) ⊕ (c, d) = (ad + bc, bd)...
two vectors equal⟨1,−3,−2⟩andv=⟨−2,−1,−1⟩determineaplanein
space. Without using linear algebra and or row reduction, determine
whether the following...
two vectors equal⟨1,−3,−2⟩andv=⟨−2,−1,−1⟩determineaplanein
space. Without using linear algebra and or row reduction, determine
whether the following vectors lie in the plane formed by u and
v.
A. ⟨8, 4, 4⟩
B. ⟨1, 3, −1⟩
C. ⟨6, −4, −2⟩
QUESTION 17
If A = { 1, 2, 3, 4 } B = { 3, 4, 5...
QUESTION 17
If A = { 1, 2, 3, 4 } B = { 3, 4, 5
} C = { 5, 7, 8, 9 }
then A ∩ C U B equals
{ 3, 5 }
{ 3, 4, 5 }
{ 4, 5 }
None of the above
QUESTION 19
What is the Cartesian product A x B given A = {1, 2}
and B = {a, b}?
{ (1, a), (1, b), (2, a), (b, b) (a, a)}
{ (1, 1), (2, 2),...