Question

Find the fundamental matrix solution for the system x′ = Ax where matrix A is given. If an initial condition is provided, find the solution of the initial value problem using the principal matrix.

A= [ 4 -13 ; 2 -6 ]. , x(o) = [ 2 ; 0 ]

Answer #1

Given a matrix system AX = B as below, where A is a 4 x 4
matrix as given below
A:
2
1
0 0
1
2
1 0
0
2
4 1
0
0
1 3
B:
0
-1
3
-1
Solve for all 4 X values using TDMA
algorithm
First identify the a, d, c and b values for each row, and then
find P’s and Q’s and finally determine X’s.

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A =
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