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Chapter 1: Q11E (page 39)

The system is[123456000]x鈫�=[123]inconsistent

Short Answer

Expert verified

True, the given system of equations is inconsistent.

Step by step solution

01

Step 1:Corresponding augmented matrix

The given system is123456000x鈫�=123

Augmented matrix with respect to the given equation will be.

123456000x鈫�=123

02

Justification of answer

From the augmented matrix we can see there is no solution to the system of equations. Because for any value of vector x the 0鈮�3.

Hence, the system of the equation has no solution, so the given system is inconsistent.

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Most popular questions from this chapter

Balancing a chemical reaction. Consider the chemical reaction

aNO2+bH2O鈫�cHNO2+dHNO3,

where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same,

2a+b=2c+3d.

While there are many possible values for a,b,c and d that balance the reaction, it is customary to use the smallest possible positive integers. Balance this reaction.

(Compute the dot products in Exercises 10 through 12

if the products are defined)

11.

[1997][666]

Find the polynomial of degree 4 whose graph goes through the points (1,1),(2,-1),(3,-59),(-1,5), and(-2,-29). Graph this polynomial.

For which values of a, b, c, d, and eis the following matrix in reduced row-echelon form?

A=[0a21b000cd00e00]

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.

|x4+2x5-x6=2x1+2x2+x5-x6=0x1+2x2+2x3-x5-x6=2|
See all solutions

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