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

Get the answer to your homework problem.

Like

Report

Each equation in Exercises $1-4$ illustrates a property of determinants. State the property.$$\left|\begin{array}{rrr}{1} & {2} & {2} \\ {0} & {3} & {-4} \\ {3} & {7} & {4}\end{array}\right|=\left|\begin{array}{ccc}{1} & {2} & {2} \\ {0} & {3} & {-4} \\ {0} & {1} & {-2}\end{array}\right|$$

The determinant does not change on adding rows..

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

Missouri State University

Oregon State University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

00:33

Each equation in Exercises…

00:47

00:36

In Exercises $14-24,$ eval…

05:53

Evaluate each determinant …

01:23

Evaluate the determinants.…

00:44

Compute the determinants i…

02:02

The following exercises in…

01:41

01:27

04:48

Okay, So in this question, you want to find out why that the determinant off this matrix is equal to the determinants off this matrix. So first thing that we have to do is to find the road operations that we went on the left hand side too. Right hand side the reparations. That dude was right three minus three times in a row one and we put that into road three. So now the reason why these two determines our equal because we use property that the multiple off one road added to another road produces the same determinants.

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 …

Each equation in Exercises $1-4$ illustrates a property of determinants. Sta…

In Exercises $14-24,$ evaluate the determinants.$$\left|\begin{array}{rr…

Evaluate each determinant in Exercises 37–40.$$\left|\begin{array}{rrrr}…

Evaluate the determinants.$$\left|\begin{array}{rrr}1 & 2 & -1 \…

Compute the determinants in Exercises $1-8$ using a cofactor expansion acros…

The following exercises investigate some of the properties of determinants. …

Evaluate each determinant in Exercises 23–28.$$\left|\begin{array}{rrr}{…

03:22

Let $\mathbf{u}$ and $\mathbf{v}$ be vectors in a vector space $V,$ and let …

03:01

Find the determinants in Exercises 5–10 by row reduction to echelon form.

06:03

For each subspace in Exercises 1–8, (a) find a basis, and (b) state the dime…

03:10

In Exercises 15 and $16,$ mark each statement True or False. Justify each an…

01:33

Suppose a $3 \times 5$ matrix $A$ has three pivot columns. Is $\mathrm{Col}$…

05:56

In Exercises $29-32,$ (a) does the equation $A \mathbf{x}=0$ have a nontrivi…

02:17

With $A$ as in Exercise $3,$ find a nonzero vector in Nul $A$ and a nonzero …

02:59

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

02:12

In Exercises $27-30$ , use coordinate vectors to test the linear independenc…

03:13

Use the concept of volume to explain why the determinant of a $3 \times 3$ m…

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.