Question

Consider the matrices

? =

[3 2

1 1],

? =

[0 1

1 0] ,

? =

[1 1

1 −1],

? =

[1 1

−1 4]

?1 =

[5 0

0 0] ,

?2 =

[2 1

10 2].

Solve ?? + ?? = ?1

?? + ?? = ?2 and find the 2 × 2

matrices ? and ? by using matrix elimination

applied to Block form of matrices.

Answer #1

Solve the system of equations using matrices. Use the Gaussian
elimination method with back-substitution.
{3a - b -3c = 13
{2a - b + 5c = -5
{a + 2b - 5c = 10
Use the Gaussian elimination method to obtain the matrix in
row-echelon form. Choose the correct answer below.
The solution set is {(_,_,_,_)}

Find the inverse matrix of
[ 3 2 3 1 ]
[ 2 1 0 0 ]
[ 3 -5 1 0 ]
[ 4 2 3 1 ]
This is all one 4x4 matrix
Required first step add second row multiplied by (-1) to first
row
try to not use fractions at all to solve this problem

P=
1 0 0
0
.2 .3
.1 .4
.1
.2 .3 .4
0
0
0 1
(a) Identify any absorbing state(s).
(b) Rewrite P in the form:
I O
R Q
(c)Find the Fundamental Matrix, F.
(d)Find FR

1. Determine the order of following matrices:
(a) A= [1 2 4]
(b) B=
1
2
3
a
b
c
(c) C=
1
2
3
0
a
0
c
-1
a
b
c
2
2. Write the augmented matrix for the system of linear
equations.
(a) 2x + 3y +7z =1
3x-2z= -1
3. Write the matrix in row-echelon form:
1
2
-1
3
3
7
-5
14
-2
-1
-3
8
4. Write the partial fraction decomposition of the...

a).For the reduction of matrix determine the elementary matrices
corresponding to each operation. M= 1 0 2 1 5
1 1 5 2 7
1 2 8 4 12 b). Calculate the product P of these elementary
matrices and verify that PM is the end result.

Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases
for R2, and
let A =
3
2
0
4
be the matrix for T: R2 ? R2 relative to B.
(a) Find the transition matrix P from B' to B. P =
(b) Use the matrices P and A to find [v]B and [T(v)]B, where
[v]B' = [1 ?5]T. [v]B = [T(v)]B =
(c) Find P?1 and A' (the matrix for T relative...

urgent
Consider the Markov chain with state space {0, 1, 2, 3, 4} and
transition probability matrix (pij ) given 2 3 1 3 0 0 0 1
3 2 3 0 0 0 0 1 4 1 4 1 4 1 4 0 0 1 2 1 2 0 0 0 0 0 1 Find
all the closed communicating classes
Consider the Markov chain with state space {1, 2, 3} and
transition matrix ...

Find the reduced row echelon form of the following matrices.
Interpret your result by giving the solutions of the systems whose
augmented matrix is the one given.
[ 0 4 7 0
2 1 0 0
0 3 1 -4 ]

Refer to the following matrices.
A =
1
−8
7
−3
−18
6
5
8
6
0
5
8
3
4
8
−2
B =
4
−7
4
0
1
4
9
5
3
−3
0
9
C =
1
0
3
2
8
D =
1
9
−7
0
What is the size of each matrix?
A
____× ____
B
_____× _____
C
____× ____
D
____× _____

write the following matrices as a product of elementary
matrices:
a)
1 2
4 9
b)
1 -2 -1
-1 5 6
5 -4 5
c)
1 0 -2
-3 1 4
2 -3 4

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