Question
In: Advanced Math
first matrix A [ 2 -1 3 ] [-4 0 -2 ] [2 -5 12 ]...
first matrix A
[ 2 -1 3 ]
[-4 0 -2 ]
[2 -5 12 ]
[4 0 4 ]
amd b
[2]
[-2]
[5]
[0]
solve for Ax=b
using tan LU factorization of A
Solutions
Colby Messinger answered 1 year agoRelated Solutions
for the matrix, A= [1 2 -1; 2 3 1; -1 -1 -2; 3 5 0]...
for the matrix, A= [1 2 -1; 2 3 1; -1 -1 -2; 3 5 0]
a. calculate the transpose of A multiplied by A
b. find the eigenvectors and eigenvalues of the answer to a
c. Find the SVD of matrix A
Consider Matrix A = ([5, 0, 4],[1, -1, 0],[1, 1, 0]). Note that [5, 0, 4]...
Consider Matrix A = ([5, 0, 4],[1, -1, 0],[1, 1, 0]). Note that
[5, 0, 4] is row 1. [1, -1, 0] is row 2. [1, 1, 0] is row 3.
a) Find all Eigenvalues and Eigenvectors.
Let 3x3 matrix A = -3 0 -4 0 5 0 &nb
Let 3x3 matrix A = -3 0 -4
0 5 0
-4 0 3
a) Find the eigenvalues of A and list their multiplicities.
b) Find a basis, Bi, for each eigenspace, E(i).
c) If possible, diagonalise matrix A. (i.e find matrices P and D
such that Pinv AP = D is diagonal).
exampleInput.txt 1 2 3 0 2 3 4 0 1 3 5 0 1 2 6...
exampleInput.txt
1 2 3
0 2 3 4
0 1 3 5
0 1 2 6
1 5 6 8
2 4 6 7
3 4 5 9 10
5 8 9
4 7 9
6 7 8
6
How can I detect when 'cin' starts reading from a new line. The
amount of numbers in each row is unknown. I need them in type 'int'
to use the data.
0 0 2 0 5 3 1 12 0 0 0 1 6 0 1 1...
0
0
2
0
5
3
1
12
0
0
0
1
6
0
1
1
2
8
1
3
1
6
2
4
0
16
17
0
8
0
3
0
0
1
2
5
2
0
2
1
5
0
7
0
1
0
0
1
0
0
3
1
9
4
1
3
0
1
1
1
0
7
1
9
2
0
1
1
1
1
7
2
7
1
2
===============================
(a) What type of...
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are...
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are 1, ?4
and 3. express the equation of the surface x^2 ? 2y^2 + z^2 + 6xy ?
2yz = 16. How should i determine the order of the coefficient in
the form X^2/A+Y^2/B+Z^2/C=1?
DATA 3 8 2 15 2 2 0 0 4 5 2 7 0 1 5...
DATA
3
8
2
15
2
2
0
0
4
5
2
7
0
1
5
3
0
2
5
4
1
6
9
5
3
1
2
10
6
1
1
2
1
19
6
6
6
7
0
4
1
1
1
0
1
9
2
2
2
1
16
10
10
5
2
3
1
4
4
4
3
6
2
8
5
2
7
1
6
4
0
3
1
1
1
Background:
A group of...
x (Bins) frequency 0 0 1 0 2 0 3 2 4 5 5 8 6...
x (Bins)
frequency
0
0
1
0
2
0
3
2
4
5
5
8
6
13
7
33
8
42
9
66
10
77
11
105
12
103
13
110
14
105
15
84
16
70
17
51
18
40
19
27
20
27
21
15
22
5
23
7
24
2
25
2
26
1
27
0
28
0
29
0
30
0
(7) On the Histogram worksheet, calculate all
frequencies of the distribution using the table shown....
Find the distances: A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 . B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 ....
Find the distances:
A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 .
B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 .
C) From the point (1,2,3) to the line ?=〈−?,4−?,1+4?〉 .
A = （1 −7 5 0 0 10 8 2 2 4 10 3 −4 8...
A =
（1 −7 5 0
0 10 8 2
2 4 10 3
−4 8 −9 6）
(1) Count the number of rows that contain negative
components.
(2) Obtain the inverse of A and count the number of columns that
contain even number of positive components.
(3) Assign column names (a,b,c,d) to the columns of A.
(4) Transform the matrix A into a vector object a by stacking
rows.
(5) Replace the diagonal components of A with (0,0,2,3). Hint:...
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