Write the vector form of the general solution of the given system of linear equations. x_1+2x_2-x_3=0 x_1+x_2+x_3=0 x_1+3x_2-3x_3=0

Khadija Wells 2020-12-28 Answered
Write the vector form of the general solution of the given system of linear equations.
x1+2x2x3=0
x1+x2+x3=0
x1+3x23x3=0
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Szeteib
Answered 2020-12-29 Author has 102 answers
[121011101330]
Write the augmented matrix of the coefficients and constants
[103001200000]
Transform the matrix in its reduced row echelon form.
x1=3x3
x2=2x3
x3=x3 free
Determine the general solution
[x1x2x3]=x4[321]
Rewrite the solution in vector form
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-06-10
Determine whether the given set S is a subspace of the vector space V.
A. V=P5, and S is the subset of P5 consisting of those polynomials satisfying p(1)>p(0).
B. V=R3, and S is the set of vectors (x1,x2,x3) in V satisfying x16x2+x3=5.
C. V=Rn, and S is the set of solutions to the homogeneous linear system Ax=0 where A is a fixed m×n matrix.
D. V=C2(I), and S is the subset of V consisting of those functions satisfying the differential equation y″−4y′+3y=0.
E. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=5.
F. V=Pn, and S is the subset of Pn consisting of those polynomials satisfying p(0)=0.
G. V=Mn(R), and S is the subset of all symmetric matrices
asked 2022-05-16
I have a hard time finding the analytical solution to the following non-linear equation:
( 1 + x ) 1 p + p p 1 p x ( p 1 ) 1 = 0
where p ] 0 , 1 [ and x > 1. I would like to have a solution x in terms of p for each fixed p in the specified interval. Of course it's possible that no analytical form of the solution exists. If so, I'd also be happy to hear an argument why that is the case. However, for some values of p the solution is 'nice', for example for p = 1 2 it's easy to compute that x = 8 and for p = 1 3 I obtained x = 9 16 ( 5 3 + 11 + 64 3 )
Any kind of help is greatly appreciated!
asked 2021-02-03
Determine whether the given (2 × 3) system of linear equations represents coincident planes (that is, the same plane), two parallel planes, or two planes whose intersection is a line. In the latter case, give the parametric equations for the line, that is, give equations of the form
x=at + b, y=ct + d, z=et + f.
x1 + 2x2  x3=2
x1 + x2 + x3=3
asked 2021-09-27
Determine whether the statement is true or false. If the last row of the reduced row echelon form of the augmented matrix of a system of linear equations has only one nonzero entry, then the system is inconsistent.
asked 2021-05-23
The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
asked 2022-06-05
can anyone give me a reference about the following kind of generalised spherical Bessel equation:
[ x 2 x 2 + 2 x x + k 2 ( x 2 + α x ) l ( l + 1 ) ] f ( x ) = 0
or for u ( x ) = x f ( x ):
[ x 2 + k 2 ( 1 + α x ) l ( l + 1 ) x 2 ] u ( x ) = 0.
I could not find any "modified" or "generalised" form of Bessel's equation that included a linear term like the k 2 α x term above.
asked 2021-09-19
Write the vector form of the general solution of the given system of linear equations.
x1+3x2+2x4=0
x3−6x4=0