Solve the initial value problem using systems of Linear
Differential Equations. Please try to use computer typing
x’ – 4y = 3
x + y’ = 2
IVP: x(0) = 0, y(0) = 1
The following matrix is the augmented matrix for a system of
linear equations. A =
1
1
0
1
1
0
0
1
3
3
0
0
0
1
1
2
2
0
5
5
(a) Write down the linear system of equations whose augmented
matrix is A.
(b) Find the reduced echelon form of A.
(c) In the reduced echelon form of A, mark the pivot
positions.
(d) Does the system have no solutions, exactly one solution or
infinitely...
Use a software program or a graphing utility to solve the system
of linear equations. (If there is no solution, enter NO SOLUTION.
If the system has an infinite number of solutions, set x5 = t and
solve for x1, x2, x3, and x4 in terms of t.) x1 − x2 + 2x3 + 2x4 +
6x5 = 16 3x1 − 2x2 + 4x3 + 4x4 + 12x5 = 33 x2 − x3 − x4 − 3x5 = −9
2x1...
Use a software program or a graphing utility to solve the system
of linear equations. (If there is no solution, enter NO SOLUTION.
If the system has an infinite number of solutions, set x5 = t and
solve for x1, x2, x3, and x4 in terms of t.) x1 − x2 + 2x3 + 2x4 +
6x5 = 16 3x1 − 2x2 + 4x3 + 4x4 + 12x5 = 33 x2 − x3 − x4 − 3x5 = −9
2x1...
in parts a and b use gaussian elimination to solve the system of
linear equations. show all algebraic steps.
a. x1 + x2 + x3 = 2
x1 - x3 = -2
2x2 + x3 = -1
b. x1 + x2 + x3 = 3
3x1 + 4x2 + 2x3 = 4
4x1 + 5x2 + 3x3 = 7
2x1 + 3x2 + x3 = 1