compute-the-determinants-of-the-elementary-matrices-given-in-exercises-25-30-see-section-22-leftbe-3

Question

Compute the determinants of the elementary matrices given in Exercises $25-30 .$ (See Section $2.2 . )$
$$
\left[\begin{array}{ccc}{1} & {0} & {0} \ {0} & {1} & {0} \ {k} & {0} & {1}\end{array}ight]
$$

Sriram Soundarrajan · Accepted Answer

31 Today we are going to solve problem number 27 here the given matrixes 10 Federal 010 Que several one. So it will be like one in do look which physical smart.

James Chok · Answer

Okay, so we want to find that determines off this matrix by perfect expansion. Go back to expanding. By the first round. We ignore this zero and zero. So when we focus on the expansion off this one So this is positive, and this is negative. So be native one times, by the determinant off 100 and one, which is native one. I got one time, one giving you one Mona&#x27;s zero times you&#x27;re giving you zero. So this is what?

James Chok · Answer

So you want to find a determinant off this matrix by perfect expansion? SOCO factor expanding by the first rope. We get it. Okay, that&#x27;s why 1001 and then the zeros. We&#x27;re gonna forget it. So this is equal to K times. One time. One gives you one mile, zero times zero, giving you zero. This is simply okay.

Sriram Soundarrajan · Answer

101 today we&#x27;re going to solve a problem. Number 29 here. We had to find the return mint off one zero. Settle still que zero 00 What so determinant will be like learn, expanding along first look burning the K minus zero, which is equals, kid.

Sriram Soundarrajan · Answer

Hello, everyone. We had to find the determinant off the given metrics. My clips is one federal several 010 Still Okay. What? So it&#x27;s determined we can expand along first floor, wanting to look logistical smart.

James Chok · Answer

Okay, so we will find the interment off this matrix factor expansion across the first row. We&#x27;re going to see more this contractor, this cup, this clip at the expansion. And what I mean, focus on this one. So it&#x27;s positive, negative and positive. So positive one What times? By the determinant off 0110 which is going to be equal to one time zero times here, which gives you zero minus one times one giving you so this is a big one.

Problem

Compute the determinants of the elementary matric…

Problem 27 Easy Difficulty

Compute the determinants of the elementary matrices given in Exercises $25-30 .$ (See Section $2.2 . )$
$$
\left[\begin{array}{ccc}{1} & {0} & {0} \\ {0} & {1} & {0} \\ {k} & {0} & {1}\end{array}\right]
$$

Answer

Determinant is $1 .$

Related Courses

Linear Algebra and Its Applications

Related Topics

Discussion

Top Algebra Educators

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Absolute Value - Example 1

Absolute Value - Example 2

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Determinant is $1 .$

Linear Algebra and Its Applications

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Absolute Value - Example 1

Absolute Value - Example 2

David C. Lay, Steven R. Lay, Judi J. McDonaldLinear Algebra and Its Applications

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications