Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the dimension of the subspace $H$ of $\mathbb{R}^{2}$ spanned by $\left[\begin{array}{r}{2} \\ {-5}\end{array}\right],\left[\begin{array}{c}{-4} \\ {10}\end{array}\right],\left[\begin{array}{r}{-3} \\ {6}\end{array}\right]$

dimension of the subspace H is 2

Calculus 3

Chapter 4

Vector Spaces

Section 5

The Dimension of a Vector Space

Vectors

Oregon State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

02:56

In mathematics, a vector (…

06:36

02:40

What is the dimension of t…

02:59

[M] Determine if $\mathbf{…

06:08

In Exercises 11 and $12,$ …

04:05

Let $H$ be the set of all …

03:27

Let $H$ be an $n$ -dimensi…

02:47

Find the value(s) of $h$ f…

02:33

Determine if the set $H$ o…

01:37

01:16

Determine the dimension of…

02:18

Let $\mathbf{y}, \mathbf{v…

So in this problem work even a subspace that is spent by these two vectors. Two. Thank you. Bye. And negative for 10 and active. 36 Okay, So in order to find out the dimension, we have to first check whether it is to These three vectors are in urgent ended so we can observe dead. Back to be one. I'll just mark B one b two B three here. So the vector bu wan can be can be represented as connective two times of you two because elective two times before. Oh, sorry. Uh, are we read it? It's ah neck, too. Two times of you want is for you, too, because an active two times two will be naked for and then to a time Sector five a 10. So, uh, that means view, too. Is multiple offer be one. So the cleaner, the independent vectors are you too? And to be three. So this is our basis. And so that implies our dimension in this case will be too, because there are only two new depend

View More Answers From This Book

Find Another Textbook

In mathematics, a vector (from the Latin word "vehere" meaning &qu…

In mathematics, a vector (from the Latin "mover") is a geometric o…

What is the dimension of the subspace of $P_{2}(\mathbb{R})$ given by$$ …

[M] Determine if $\mathbf{y}$ is in the subspace of $\mathbb{R}^{4}$ spanned…

In Exercises 11 and $12,$ find the dimension of the subspace spanned by the …

Let $H$ be the set of all vectors of the form $\left[\begin{array}{c}{2 t} \…

Let $H$ be an $n$ -dimensional subspace of an $n$ -dimensional vector space …

Find the value(s) of $h$ for which the vectors are linearly dependent. Justi…

Determine if the set $H$ of all matrices of the form $\left[\begin{array}{ll…

Let $H$ be the set of all vectors of the form $\left[\begin{array}{c}{s} \\ …

Determine the dimension of the matrix.$$\left[\begin{array}{rrr}5 &a…

Let $\mathbf{y}, \mathbf{v}_{1},$ and $\mathbf{v}_{2}$ be as in Exercise $12…

02:48

Determine which sets in Exercises $1-8$ are bases for $\mathbb{R}^{3}$ . Of …

01:30

Exercises 29 and 30 show that every basis for Rn must contain exactly n vect…

02:52

01:14

Let $A=\left[\begin{array}{ll}{3} & {1} \\ {4} & {2}\end{array}\righ…

02:58

Determine if the given set is a subspace of $\mathbb{P}_{n}$ for an appropri…

03:51

Let $S$ be the tetrahedron in $\mathbb{R}^{3}$ with vertices at the vectors …

01:26

In Exercises 31–36, mention an appropriate theorem in your explanation.S…

04:54

In Exercises 29 and $30, V$ is a nonzero finite-dimensional vector space, an…

01:15

Exercises $23-26$ concern a vector space $V,$ a basis $\mathcal{B}=$ $\left\…

00:29

Is $\left[\begin{array}{r}{1} \\ {-2} \\ {1}\end{array}\right]$ an eigenvect…

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.