Question
The Gram-Schmidt procedure applied to the three column vectors of A = 3 7 6 2...
The Gram-Schmidt procedure applied to the three column vectors of
A =
|
|
3 | 7 | 6 |
|
||
| 2 | −4 | 4 | ||||
| −1 | −1 | 12 |
produces the factorization A = QR where
Homework Answers
Answer #1
If you have any questions please let me know
Please give me thumb up..
Not the answer you're looking for?
Similar Questions
What are the resulting orthonormal vectors after applying the Gram-Schmidt process to the 3x1 vectors: [3...
What are the resulting orthonormal vectors after applying the
Gram-Schmidt process to the 3x1 vectors: [3 1 -2], [2 -1 -1], [1 1
2]?
(a) Use the Gram-Schmidt process on the basis {(1, 2, 2),(1, 2, 3),(4, 3, 2)} of...
(a) Use the Gram-Schmidt process on the basis {(1, 2, 2),(1, 2,
3),(4, 3, 2)} of R ^3 find an orthonormal basis.
(b) Write the vector v = (2, 1, −5) as a linear combination of
the orthonormal basis vectors found in part (a).
Apply the Gram-Schmidt process to the vectors [1; −2; 0], [1; 0; −1] and [0; 1;...
Apply the Gram-Schmidt process to the vectors [1; −2; 0], [1; 0;
−1] and [0; 1; 1] .
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1 and v2 with the same...
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1
and v2 with the same span as x1, x2. Now use the formula
p =((y, v1)/(v1, v1))v1 + ((y, v2)/(v2, v2))v2
to compute the projection of y onto that span. Of course,
replace the inner product with the dot product when working with
standard vectors
1)
Compute the projection of y = (1, 2, 3) onto span
(x1, x2) where
x1 =(1, 1, 1) x2 =(1, 0, 1)
The inner...
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1 and v2 with the same...
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1
and v2 with the same span as x1, x2. Now use the formula
p =((y, v1)/(v1, v1))v1 + ((y, v2)/(v2, v2))v2
to compute the projection of y onto that span. Of course,
replace the inner product with the dot product when working with
standard vectors
2)
Compute the projection of y = (1, 2, 2, 2, 1) onto
span (x1, x2) where
x1 =(1, 1, 1, 1, 1) x2 =(4,...
Use the inner product <u,v>= 2u1v1 + u2v2 in R2 and the Gram-Schmidt orthonormalization process to...
Use the inner product <u,v>= 2u1v1 + u2v2 in R2 and the
Gram-Schmidt orthonormalization process to transform {(2, ?1), (2,
6)} into an orthonormal basis. (Use the vectors in the order in
which they are given.)
u1 =
u2 =
For the linearly independent vectors w1 =[ 0, 1, 0, 1 ] w2 =[1, 2, 0 ,0...
For the linearly independent vectors
w1 =[ 0, 1, 0, 1 ] w2 =[1, 2, 0 ,0 0] w3 = [0 , 2
, 1, 0]
(a) Use the Gram-Schmidt procedure to generate an orthonormal
basis.
Find the LU factorization of the matrix a) ( 6 2 0 -12 -3 -3 -6...
Find the LU factorization of the matrix
a)
( 6 2 0
-12 -3 -3
-6 -1 -14
9 -12 45 )
b) ( 2 -1 -2 4
6 -8 -7 12
4 -22 -8 14 )
Number in Family 7 2 7 3 9 5 5 7 3 4 13 2 6...
Number in Family
7
2
7
3
9
5
5
7
3
4
13
2
6
5
5
4
4
5
3
8
5
2
5
4
7
4
3
4
7
10
4
3
4
4
4
3
6
3
2
3
4
3
7
6
4
2
3
4
4
12
17
4
3
2
3
5
2
4
3
5
5
3
3
5
6
4
3
4
2
3
4
7
5
Past
enrollment data indicates...
Using the following data: Coin 7 2 6 2 4 4 6 7 3 6 4...
Using the following data:
Coin
7
2
6
2
4
4
6
7
3
6
4
4
4
4
5
4
3
3
5
4
4
5
3
7
7
3
3
5
2
5
3
5
7
4
4
Calculate descriptive statistics for the variable (Coin) where
each of the thirty-five students in the sample flipped a coin 10
times. (Round your answers to three decimal places)
Mean =
Standard Deviation =
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 28 minutes ago
asked 35 minutes ago
asked 52 minutes ago
asked 52 minutes ago
asked 54 minutes ago
asked 59 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago