The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution,

Alyce Wilkinson 2021-06-19 Answered

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent.

[100|1010|3001|4000|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

Asma Vang
Answered 2021-06-20 Author has 93 answers
Bach variable is represented by a leading 1 in the corresponding column. The last row represents an equation that is always true (0=0), 20... the system is consistent and has exactly one solution.
(No parameters) Interpreting row by row as equations.
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 2021-09-14
Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named x1,x2,… from left to right. [1,2,0,2,−1,3]
asked 2021-02-25
Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations {9x3y+z=1312x8z=53x+4yz=6
asked 2021-06-24
Write the vector form of the general solution of the given system of linear equations.
x1+4x4=0
x2−2x4 ​
asked 2021-01-04

The coefficient matrix for a system of linear differential equations of the form y1=Ay  has the given eigenvalues and eigenspace bases. Find the general solution for the system 

λ1=3[110]

λ2=0[151][214]

asked 2022-05-12

y4

 

 

asked 2021-09-27
Consider a consistent system of three linear equations in three variables. Discuss the nature of the system and its solution set if the reduced form of the augmented coefficient matrix has
A) One leftmost 1
B) Two leftmost 1s