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

Let $\mathbf{r}_{1}, \ldots, \mathbf{r}_{p}$ be vectors in $\mathbb{R}^{n},$ and let $Q$ be an $m \times n$ matrix. Write the matrix $\left[Q \mathbf{r}_{1} \cdots Q \mathbf{r}_{p}\right]$ as a product of two matrices (neither of which is an identity matrix).

$\left[\begin{array}{lll}{Q \mathbf{r}_{1}} & {\ldots} & {Q \mathbf{r}_{p}}\end{array}\right]=Q R$

Algebra

Chapter 2

Matrix Algebra

Section 1

Matrix Operations

Introduction to Matrices

McMaster University

Baylor University

Lectures

01:32

In mathematics, the absolu…

01:11

05:50

Identity Matrix Let $A=\le…

03:00

Let $A$ be an $m \times n$…

04:14

Let $\mathbf{A}$ be an $n …

03:07

The $n \times n$ matrix $\…

01:38

An $n \times n$ matrix $A$…

00:42

Decide whether or not the …

01:30

00:47

00:50

02:50

Let $A$ be an $n \times n$…

for this problem. We have a set of vectors in R N r. One r two up to r p in our n and we have a Q in Matrix Q, which is m by N. We want to write que we want to write The Matrix. Q. Times are one up to Q times R P as a product of two matrices. So for this problem, we just need to use the way that matrix multiplication is defined. Remember that a B is equal to a Times B one b two that that that to be b n sorry, which is equal to a Times B one a times B two at the dot of to a Times B n where the bees are the column vectors. So what that means is that with the way that this is defined, what we want to write and right queue of our one dot, dot, dot, up to Q times AARP. You can write that as Q. The Matrix Q. Times of matrix with the are vectors as the column vectors. So we can write that as q R. Where r equals are one dot r p matrix with those vectors as the column vectors

View More Answers From This Book

Find Another Textbook

Numerade Educator

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

Identity Matrix Let $A=\left[a_{i j}\right]$ be an $n \times n$ matrix. Prov…

Let $A$ be an $m \times n$ matrix and let $B$ be an $p \times n$ matrix. Use…

Let $\mathbf{A}$ be an $n \times n$ zero-one matrix. Let $\mathbf{I}$ be the…

The $n \times n$ matrix $\mathbf{A}=\left[a_{i j}\right]$ is called a diagon…

An $n \times n$ matrix $A$ that satisfies $A^{T}=A^{-1}$ is called an orthog…

Decide whether or not the given matrices are imerses of each other. (Hint: C…

Let $A$ be an $n \times n$ matrix.(a) Use the index form of the matrix p…

03:43

Explain why the columns of an $n \times n$ matrix $A$ span $\mathbb{R}^{n}$ …

01:05

An important concern in the study of heat transfer is to determine the stead…

02:40

Construct a $3 \times 3$ matrix $A,$ with nonzero entries, and a vector $\ma…

04:20

Find an LU factorization of the matrices in Exercises $7-16$ (with $L$ unit …

01:35

In Exercises $1-4,$ determine if the vectors are linearly independent. Justi…

03:47

In Exercises 9 and $10,\left(\text { a) for what values of } h \text { is } …

02:39

In Exercises $17-20,$ show that $T$ is a linear transformation by finding a …

01:54

What $3 \times 3$ matrix will have the same effect on homogeneous coordinate…

05:35

05:05

Let $\mathbf{u}$ and $\mathbf{v}$ be linearly independent vectors in $\mathb…

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.