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Solve the systems in Exercises $11-14$$$\begin{aligned} x_{1}-3 x_{2}+4 x_{3} &=-4 \\ 3 x_{1}-7 x_{2}+7 x_{3} &=-8 \\-4 x_{1}+6 x_{2}-x_{3} &=7 \end{aligned}$$

Inconsistent

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 1

Systems of Linear Equations

Introduction to Matrices

Oregon State University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

07:13

Solve the systems in Exerc…

05:22

02:18

09:30

Solve each system in Exerc…

01:33

Solve each system by addit…

03:01

Solve.$$7(2 x-1)+4…

01:48

Solve each equation in Exe…

03:53

02:58

For Exercises 11–22, use C…

01:18

For Exercises $3-4,$ solve…

Okay, So this problem we're asked. She solved this system right here. You simplify the problem a little bit. I've turned the system into an automated matrix right over here. So now I'm working on the Augmentin matrix. I'm gonna trash you. Turn this three and true zero. To do that, I'm going to your place of row two. Bye. Negative. Three times were one plus wrote to you, and that's gonna give me a new road, too. As zero two negative. Five four. Now, I'm gonna try to turn this negative four into a zero by replacing Grow three with four times. Wrote one plus road three and that's gonna give me a new row. Three as zero negative. Six 15. Negative. Nine on. We still have our original first row right here. Um, now, since our last row has this, you already let's try to govern. Is this 15 right here To do that, we can look at a row two and replace, wrote three by three times, wrote to plus row three. That's gonna give us a new road three off zero 003 So we can see that even though we didn't get rid of this 15 like we wanted to. We also got rid of this negative six right here since three times wrote to also gives six that limits this terrible right here. So we can see in this last row that this system will require zero to equal three if there was a solution, which is impossible. So what we see here is that this system is inconsistent and what that means is that there is no solution and solution said is empty.

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In mathematics, the absolute value or modulus |x| of a real number x is its …

Solve the systems in Exercises $11-14$$$\begin{aligned} x_{2}+4 x_{3…

Solve the systems in Exercises $11-14$$$\begin{aligned} x_{1} &-…

Solve the systems in Exercises $11-14$$$\begin{aligned} x_{1}-3 x_{2…

Solve each system in Exercises $1-4$ by using elementary row operations on t…

Solve each system by addition.$$\begin{array}{c}3 x-4 y=11 \\

Solve.$$7(2 x-1)+4=11(3 x-2)$$

Solve each equation in Exercises $7-23 .$$$\frac{3}{2 x+1}-\frac{4}{x+1}…

Solve each system in Exercises 5–18.$$\left\{\begin{aligned} 4 x-y+2…

For Exercises 11–22, use Cramer’s Rule to solve each system.$$\left\{\be…

For Exercises $3-4,$ solve the equations.$$2=|5-7 x|+1$$

03:15

In Exercises 13 and $14,$ determine if $\mathbf{b}$ is a linear combination …

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Tell whether the figure can be folded in half so that one side matches the o…

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Suppose a system of linear equations has a $3 \times 5$ augmented matrix who…

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COMPLETE THE SENTENCE The circumference of a circle with diameter d is $C=$ …

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