View by Category

Loading...

PPT – Elementary Linear Algebra ?????? PowerPoint presentation | free to download - id: 4aebd4-NGU1Z

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

????

- ???????????
- ??????? ??

Elementary Linear Algebra

?????? R. Larsen et al. (6 Edition)

???

?????

??

- ??? ???????
- ??? ??
- ??? ???
- ??? ????
- ??? ????
- ??? ????
- ??? ????????

??? ???????

- 1.1 ?????????
- 1.2 ????????-?????

Elementary Linear Algebra

?????? R.

Larsen et al. (6 Edition)

????????

1.1 ?????????

- n????????? (linear equation)

??a1,a2,a3,,an????,?????b?????a1??????(leading

coefficient),x1??????(leading variable)?

- ??
- (1) ???????????????????,?
- ?????????????????????

(2) ??????????????? ?

???? 1.1? pp.2-3

- ?? 1??????

???? 1.1? p.3

- n?????????? (solution)

- ??? (solution set)
- ??????????????????

???? 1.1? p.3

- ?? 2????????? (parametric representation)

???? 1.1? pp.3-4

- n???m???????? (system of linear equations)

- ??? (consistent)
- ????????????

- ???? (inconsistent)
- ?????????

???? 1.1? p.5

- ???????????,??????

(1) ???????(?????) (2) ????????(?????) (3)

?????(??????)

???? 1.1? p.6

- ?? 4(?????????)
- (1)
- (2)
- (3)

???? 1.1? p.6

- ?? 5?????(back substitution)????????????

???? 1.1? p.7

- ?? 6?????????????????

???? 1.1? p.8

- ?? (equivalent)
- ?????????????????,
- ???? ??????????

- ???????????????????

(1) ??????

(2) ???????????

(3) ??????????????

???? 1.1? p.8

- ?? 7???????????????????????

???? 1.1? p.9

???? 1.1? p.9

- ?? 8?????????(????(??)??)

???? 1.1? p.11

- ????????????

???? 1.1? p.11

- ?? 9?????????(?????)

???? 1.1? p.12

???????????

???? 1.1? p.12

????? (1.1?????)

- linear equation ?????
- system of linear equation ??????
- leading coefficient ????
- leading variable ????
- solution ?
- solution set ???
- parametric representation ?????
- consistent ???(??)
- inconsistent ????(?????)
- equivalent ??

1.2 ????????-?????

- m?n ?? (matrix)

- ??

(1)?????????(entry)aij????

(2)?m?n???????(size)?m?n

(4)??????,??a11, a22, , ann?????? (main

diagonal)???

???? 1.2? p.18

- ?? 1 ?? ??

- ??
- ????????????????????

???? 1.2? pp.18-19

- m????n???????????

???? 1.2? p.19

- ???? (augmented matrix)
- ???? (coefficient matrix)

???? 1.2? p.19

- ??????? (elementary row operation)

- ??? (row equivalent)

?????????????????????,???????????

???? 1.2? pp.19-20

- ?? 2(?????)

???? 1.2? p.20

- ?? 3????????????

????

???????

?????

???? 1.2? p.21-22

- ?? 3????????????

????

???????

?????

???? 1.2? p.22

- ????? (row-echelon form)

(1)????????????

(2)??????,?????????1,????1 (leading 1)

(3)??????????,??????1???? ?????1???

- ?????? (reduced row-echelon form)

(1) (3) ?? (4)???1????????1?????????

???? 1.2? p.22

- ?? 4???????????????????

???? 1.2? p.23

- ????? (Gaussian elimination)
- ??????????????

- ??-????? (Gauss-Jordan elimination)
- ???????????????

- ??

(1) ??????????????

(2) ???????????????(?????? ???????????)

???? 1.2? p.27

- ????????????????????

???? 1.2? ??

?????

?????

?????

??????

???? 1.2? ??

- ?? 7???-??????????????(???)

?

???? 1.2? p.27-28

- ?? 8?????????(?????)

???? 1.2? pp.30-31

???????????

???? 1.2? pp.30-31

- ?????????? (homogeneous system)

????????????????, ?????????

???? 1.2? p.30

- ??? (trivial solution)

(??n????????)

- ???? (nontrivial solution)
- ?????????

- ??

(1) ????????????(consistent)??

(2) ???????????,???????

(3) ??????????,??????

(a) ?????????

(b) ???????????????

???? 1.2? p.30

- ?? 9??????????????

???? 1.2? p.30

????? (1.2?????)

- matrix ??
- row ?
- column ?
- entry ??
- size ??
- square matrix ??
- order ?
- main diagonal ????
- augmented matrix ????
- coefficient matrix ????

- elementary row operation ?????
- row equivalent ???
- row-echelon form ?????
- reduced row-echelon form ??????
- leading 1 ??1
- Gaussian elimination ?????
- Gauss-Jordan elimination ??-?????
- free variable ????
- homogeneous system ????
- trivial solution ???
- nontrivial solution ????

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2017 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2017 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Elementary Linear Algebra ??????" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Csu University and other schools with their online training by sharing educational presentations for free