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Chapter 1: Q11E (page 39)

Question 11: The system[123456000]xR=[123] is inconsistent.

Short Answer

Expert verified

Answer:

True, the given system of equation is inconsistent.

Step by step solution

01

Corresponding augmented matrix

In the given We have given the system of equation is[123456000]x=[123] .

Augmented matrix with respect to given equation will be.[123456000][123]

02

Justification of answer

From the augmented matrix we can see there is no solution to the system of equation. Because for any value of vector x the0鈮�3 .

Hence, the system of equation has no solution.

03

Final answer

True, given system of equation is inconsistent.

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Most popular questions from this chapter

Consider the accompanying table. For some linear systemsA=x鈫�=b鈫�, you are given either the rank of the coefficient matrixA , or the rank of the augmented matrix [A:b鈫�]. In each case, state whether the system could have no solution, one solution, or infinitely many solutions. There may be more than one possibility for some systems. Justify your answers.

Determine whether the statements that follow are true or false, and justify your answer.

16: There exists a 2脳2matrix such that

A[11]=[12]andA[22]=[21]

In exercises, 1 through 10, findall solutions of the linear systems using elimination.T hen check your solutions.

10.|x+2y+3z=12x+4y+7z=23x+7y+11z=8|

Consider an n脳 mmatrix A, an r脳 smatrix B, and a vectorx鈫�in鈩�p. For which values of n, m, r,s, and pis the productA(Bx鈫�)defined?

In Exercises 1 through 12, find all solutions of the equations

with paper and pencil using Gauss鈥揓ordan elimination.

Show all your work.

|x1+2x3+4x4=-8x2-3x-x4=63x1+4x2-6x3+8x4=0-x2+3x3+4x4=-12|
See all solutions

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