💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Watch this step-by-step video, matched to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Let $\mathbf{v}_{1}=\left[\begin{array}{r}{-3} \\ {0} \\ {6}\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}{-2} \\ {2} \\ {3}\end{array}\right], \mathbf{v}_{3}=\left[\begin{array}{r}{0} \\ {-6} \\ {3}\end{array}\right],$ and $\mathbf{p}=$ $\left[\begin{array}{r}{1} \\ {14} \\ {-9}\end{array}\right] .$ Determine if $\mathbf{p}$ is in Col $A,$ where $A=\left[\mathbf{v}_{1} \mathbf{v}_{2} \mathbf{v}_{3}\right]$

Yes

Algebra

Chapter 2

Matrix Algebra

Section 8

Subspaces of Rn

Introduction to Matrices

Campbell University

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

07:12

If $A=\left[\begin{array}{…

01:02

Let $A=\left[\begin{array}…

05:34

Let $\mathbf{A} :=\left[ \…

00:51

Given $A,$ find $A^{-1},$ …

01:25

00:57

03:37

Find $A^{-1},$ if possible…

04:42

Use the Gauss-Jordan metho…

01:57

06:15

for this question with a church if p is in the column off, eh? To do that, we must ensure that a X your calls a p most off his solution. So how do we do this with a check? If the augmented metrics or commended metrics A He's consistent. So a P will be minus three 06 minus two. Sue three zero minus six, three one 14 minus nine cause this is speedy. No. What we do is we try to reduce these. We introduce your S O U C for all three equal to rule three. Lost to warn. This will put a zero on than its days. So why we do that? We're gonna off minus three, Sue, so remind us too. 01 zero Sue minus 6 14 Then when you do this, you're gonna off zero minus one three, minus seven. So next we try to introduce zero on the native. This true, that is, make these zero. And then to do dot She just 03 You called Zorro? Three plus off through Sioux on. This is gonna give minus three minus two zero one zero minus two minus 6 14 And then When you do this, you're gonna out 0000 so we can see that. Look at this. Look at this. So we can see that this is Constance is consistent. So we see Dr the documented metrics. The augmented metrics correspond. So a consistent system through a consistent system. So this implies that P is in colon off, eh?

View More Answers From This Book

Find Another Textbook

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

If $A=\left[\begin{array}{rrr}-1 & 0 & 4 \\ 1 & 1 & 2 \\ -2 …

Let $A=\left[\begin{array}{ll}1 & 2 \\ 1 & 3\end{array}\right] \quad…

Let $\mathbf{A} :=\left[ \begin{array}{rr}{1} & {2} \\ {1} & {1}\end…

Given $A,$ find $A^{-1},$ if it exists. Check each inverse by showing $A^{-1…

Let $A=\left[\begin{array}{cc}{-6} & {12} \\ {-3} & {6}\end{array}\r…

Let $A=\left[\begin{array}{ll}1 & 1 \\ 1 & 3\end{array}\right] .$ Fi…

Find $A^{-1},$ if possible.$$A=\left[\begin{array}{ll}3 & 1 \\

Use the Gauss-Jordan method to find $\mathrm{A}^{-1}$, if it exists. Check y…

Let $\mathbf{A} :=\left[ \begin{array}{rr}{2} & {-1} \\ {-3} & {4}\e…

Find $A^{-1},$ if possible.$$A=\left[\begin{array}{rrr}1 & -1 &a…

02:01

Determine by inspection whether the vectors are linearly independent. Justif…

01:37

Find formulas for X, Y, and Z in terms of A, B, and C, and justify your calc…

02:58

Each statement in Exercises 33–38 is either true (in all cases) or false (fo…

07:46

A rotation in $\mathbb{R}^{2}$ usually requires four multiplications. Comput…

03:56

In Exercises 31–36, respond as comprehensively as possible, and justify your…

05:37

Suppose the block matrix $A$ on the left side of (7) is invertible and $A_{1…

01:52

In Exercises $33-36,$ verify that det $E A=(\operatorname{det} E)(\operatorn…

02:59

Unless otherwise specified, assume that all matrices in these exercises are …

05:06

Use Cramer’s rule to compute the solutions of the systems in Exercises 1–6.<…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.