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

Test Cramer's rule for a random $4 \times 4$ matrix $A$ and a random $4 \times 1$ vector b. Compute each entry in the solution of $A \mathbf{x}=\mathbf{b},$ and compare these entries with the entries in $A^{-1} \mathbf{b}$ . Write the command (or keystrokes) for your matrix program that uses Cramer's rule to produce the second entry of $\mathbf{x}$ .

And, the command for producing $2^{\text {nd }}$ entry of the solution is already in the programming.

Algebra

Chapter 3

Determinants

Section 3

Cramer’s Rule, Volume, and Linear Transformations

Introduction to Matrices

Missouri State University

McMaster University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

01:39

[M] Construct a random $4 …

04:44

Use Cramer's rule to …

04:11

03:20

02:58

04:38

01:24

For a randomly generated $…

01:06

$[\mathbf{M}]$ Is it true …

02:49

Examining Cramer's Ru…

00:24

Okay. So in this example, we want to see how these four transformations will affect the determines off A when we use random former for matrices. So I created a love another program here, where we will generate random matrices depending on this shape. Yeah, so if you want to use it on five by five and 656 matrix Just changed history. Five comma five and six. Common six. Then what this will do is that this will find the ratio between eight transfers on A. So it's going to wipe transfers and eight to the ratio between negative, eh? And eh, The ratio between two. A two and ratio of 10 8 to a and then everything worry about what's called us. But that's what it does. So what you find out is that the determined a transpose should be equal to two determinant off, eh? Determined off negative. A is equal to negative one times by and determines all, eh? So here I'm just gonna make a random a general n by N matrix. And then this one will be true to the end determinants. Oh, hey, this is 10 to the end tournaments away and in this case because this is for for so many years, for this will just be one to the end. So it's gonna be equal to determine off A is going to be too to the form, so you'll get 16 and this is tentative. Fall and you'll you'll see this when you perform this program.

View More Answers From This Book

Find Another Textbook

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

[M] Construct a random $4 \times 4$ matrix $A$ with integer entries between …

Use Cramer's rule to determine the unique solution for $x$ to the syste…

For a randomly generated $5 \times 5$ matrix, verify that $\operatorname{det…

$[\mathbf{M}]$ Is it true that $\operatorname{det} A B=(\operatorname{det} A…

Examining Cramer's Rule, explain why there is no unique solution to the…

Examining Cramer's Rule, explain why there is no unique solution when t…

01:34

Let $\mathcal{B}=\left\{\mathbf{b}_{1}, \ldots, \mathbf{b}_{n}\right\}$ be a…

04:32

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

01:12

In Exercises $19-24,$ explore the effect of an elementary row operation on t…

04:17

Exercises 31 and 32 concern finite-dimensional vector spaces $V$ and $W$ and…

03:22

(Calculus required) Define $T : C[0,1] \rightarrow C[0,1]$ as follows: For $…

01:28

A laboratory animal may eat any one of three foods each day. Laboratory reco…

05:27

In Exercises $15-18,$ find a basis for the space spanned by the given vector…

02:01

In Exercises 39 and $40, A$ is an $n \times n$ matrix. Mark each statement T…

01:56

Verify that det $A=\operatorname{det} B+\operatorname{det} C,$ where$$

04:46

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

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.