Question

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 )

Answer #1

a) GIven matrix is : A =

Now, =

i.e., =

Therefore, L = and U = .

b) Given matrix is : A =

Now, =

i.e., =

Therefore, L = and U = .

Find LU factorization of A.solve the system Ax=b using LU
fact
A=(1 -3 0, 0 1 -3,2 -10 2). b=(-5,-1,-20)

Solve the equation Ax = b by using the LU factorization given
for A.
A= [4 -6
4
= [1 0 0 [4 -6
4 [0
-12 15
-7
-3 1 0 0 -3
5 b= 12
12 -15
8]
3 -1 1] 0 0
1] -12]
Let Ly=b and Ux=y. Solve for x and y.
y=
x=

A=
2
-3
1
2
0
-1
1
4
5
Find the inverse of A using the method: [A | I ] → [ I | A-1 ].
Set up and then use a calculator (recommended). Express the
elements of A-1 as fractions if they are not already integers. (Use
Math -> Frac if needed.) (8 points)
Begin the LU factorization of A by determining a first
elementary matrix E1 and its inverse E1-1. Identify the associated
row operation. (That...

Let A = {0, 3, 6, 9, 12}, B = {−2, 0, 2, 4, 6, 8, 10, 12}, and C
= {4, 5, 6, 7, 8, 9, 10}.
Determine the following sets:
i. (A ∩ B) − C
ii. (A − B) ⋃ (B − C)

Given a matrix F = [3 6 7] [0 2 1] [2 3 4]. Use Cramer’s rule to
find the inverse matrix of F.
Given a matrix G = [1 2 4] [0 -3 1] [0 0 3]. Use Cramer’s rule
to find the inverse matrix of G.
Given a matrix H = [3 0 0] [-1 1 0] [-2 3 2]. Use Cramer’s rule
to find the inverse matrix of H.

Find the QR- factorization of each matrix (a) A = 1 1 0 1 2
1 0 0 2 (b) A = 1 1 0 1 1 0 (c) A = 1 0 0 0 1 1
1 2 (d) A = 1 0 0 1 1 0 1 1 1 (e) A = 1 0...

a) Find the steady-state vector for the transition matrix.
.8
1
.2
0
x= ______
__________
b) Find the steady-state vector for the transition matrix.
1
7
4
7
6
7
3
7
These are fractions^
x= _____
________

2. Write the output matrix “v”
t = [2:4];
k = [1:3];
v = t.*k – k.^2
4. Given: D = [1 2 3 4 5 6 7 8 9] (3x3) . Which command will
extract the submatrix [1 2 3 4 5 6] (2x3) ?
a. D[1:2,1:3]
b. D(1,2 ;1,3)
c. [D(1:2),D(1:3)]
d. D(1:2,1:3)
14. What will be the dimension of matrix B?
B=[ones(3) zeros(3) rand(3); 2*eye(9)]
18. Find the value of “C”
A=1:2:10;
B=linspace(1,5,5);
C = length(A)*B(2)+A(5)*B(3);
19....

Dep Delay
Arr Delay
q1
-13
-9
q3
1
3
IQR
14
12
stdev
9.211846
9.660933
negative
291
zero
39
positive
170
total (should be 500)
500
all data is for arrival data. please help me explain these
can someone help me answer these questions and tell me how to
put them in excel.thanx in advance
1. Define a random variable (X) so
that your chosen data set represents values of X.
2. Is your chosen random variable discrete or...

Find regression line for the data
X 0 1 2 3
4 5 6 7
8
Y 11 21 31 41 51 61 71 81 91
X 0 2 4 6 8
10
Y 12 15 17 18 20 22

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 11 minutes ago

asked 49 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago