Linear Algebra: Theory and Applications

¡ The Saylor Foundation
ā§Ē.ā§§
ā§­ā§Ē āĻŸāĻž āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻž
āĻ‡āĻŦā§āĻ•
503
āĻĒā§ƒāĻˇā§āĻ āĻž
āĻŽā§‚āĻ˛ā§āĻ¯āĻžāĻ‚āĻ•āĻ¨ āĻ†ā§°ā§ āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻž āĻ¸āĻ¤ā§āĻ¯āĻžāĻĒāĻ¨ āĻ•ā§°āĻž āĻšā§‹ā§ąāĻž āĻ¨āĻžāĻ‡  āĻ…āĻ§āĻŋāĻ• āĻœāĻžāĻ¨āĻ•

āĻāĻ‡ āĻ‡āĻŦā§āĻ•āĻ–āĻ¨ā§° āĻŦāĻŋāĻˇā§Ÿā§‡

This is a book on linear algebra and matrix theory. While it is self contained, it will work
best for those who have already had some exposure to linear algebra. It is also assumed that
the reader has had calculus. Some optional topics require more analysis than this, however.
I think that the subject of linear algebra is likely the most significant topic discussed in
undergraduate mathematics courses. Part of the reason for this is its usefulness in unifying
so many different topics. Linear algebra is essential in analysis, applied math, and even in
theoretical mathematics. This is the point of view of this book, more than a presentation
of linear algebra for its own sake. This is why there are numerous applications, some fairly
unusual.

āĻŽā§‚āĻ˛ā§āĻ¯āĻžāĻ‚āĻ•āĻ¨ āĻ†ā§°ā§ āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻžāĻ¸āĻŽā§‚āĻš

ā§Ē.ā§§
ā§­ā§Ē āĻŸāĻž āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻž

āĻāĻ‡ āĻ‡āĻŦā§āĻ•āĻ–āĻ¨āĻ• āĻŽā§‚āĻ˛ā§āĻ¯āĻžāĻ‚āĻ•āĻ¨ āĻ•ā§°āĻ•

āĻ†āĻŽāĻžāĻ• āĻ†āĻĒā§‹āĻ¨āĻžā§° āĻŽāĻ¤āĻžāĻŽāĻ¤ āĻœāĻ¨āĻžāĻ“āĻ•āĨ¤

āĻĒāĻĸāĻŧāĻžā§° āĻ¨āĻŋāĻ°ā§āĻĻā§‡āĻļāĻžā§ąāĻ˛ā§€

āĻ¸ā§āĻŽāĻžā§°ā§āĻŸāĻĢ’āĻ¨ āĻ†ā§°ā§ āĻŸā§‡āĻŦāĻ˛ā§‡āĻŸ
Android āĻ†ā§°ā§ iPad/iPhoneā§° āĻŦāĻžāĻŦā§‡ Google Play Books āĻāĻĒāĻŸā§‹ āĻ‡āĻ¨āĻˇā§āĻŸāĻ˛ āĻ•ā§°āĻ•āĨ¤ āĻ‡ āĻ¸ā§āĻŦāĻ¯āĻŧāĻ‚āĻ•ā§āĻ°āĻŋāĻ¯āĻŧāĻ­āĻžā§ąā§‡ āĻ†āĻĒā§‹āĻ¨āĻžā§° āĻāĻ•āĻžāĻ‰āĻŖā§āĻŸā§° āĻ¸ā§ˆāĻ¤ā§‡ āĻ›āĻŋāĻ‚āĻ• āĻšāĻ¯āĻŧ āĻ†ā§°ā§ āĻ†āĻĒā§āĻ¨āĻŋ āĻ¯'āĻ¤ā§‡ āĻ¨āĻžāĻĨāĻžāĻ•āĻ• āĻ¤'āĻ¤ā§‡āĻ‡ āĻ•ā§‹āĻ¨ā§‹ āĻ…āĻĄāĻŋāĻ…'āĻŦā§āĻ• āĻ…āĻ¨āĻ˛āĻžāĻ‡āĻ¨ āĻŦāĻž āĻ…āĻĢāĻ˛āĻžāĻ‡āĻ¨āĻ¤ āĻļā§āĻ¨āĻŋāĻŦāĻ˛ā§ˆ āĻ¸ā§āĻŦāĻŋāĻ§āĻž āĻĻāĻŋāĻ¯āĻŧā§‡āĨ¤
āĻ˛ā§‡āĻĒāĻŸāĻĒ āĻ†ā§°ā§ āĻ•āĻŽā§āĻĒāĻŋāĻ‰āĻŸāĻžā§°
āĻ†āĻĒā§āĻ¨āĻŋ āĻ•āĻŽā§āĻĒāĻŋāĻ‰āĻŸāĻžā§°ā§° ā§ąā§‡āĻŦ āĻŦā§āĻ°āĻžāĻ‰āĻœāĻžā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻ•ā§°āĻŋ Google PlayāĻ¤ āĻ•āĻŋāĻ¨āĻž āĻ…āĻĄāĻŋāĻ…'āĻŦā§āĻ•āĻ¸āĻŽā§‚āĻš āĻļā§āĻ¨āĻŋāĻŦ āĻĒāĻžā§°ā§‡āĨ¤
āĻ‡-ā§°ā§€āĻĄāĻžā§° āĻ†ā§°ā§ āĻ…āĻ¨ā§āĻ¯ āĻĄāĻŋāĻ­āĻžāĻ‡āĻš
Kobo eReadersā§° āĻĻā§°ā§‡ āĻ‡-āĻšāĻŋā§ŸāĻžāĻāĻšā§€ā§° āĻĄāĻŋāĻ­āĻžāĻ‡āĻšāĻ¸āĻŽā§‚āĻšāĻ¤ āĻĒā§āĻŋāĻŦāĻ˛ā§ˆ, āĻ†āĻĒā§āĻ¨āĻŋ āĻāĻŸāĻž āĻĢāĻžāĻ‡āĻ˛ āĻĄāĻžāĻ‰āĻ¨āĻ˛â€™āĻĄ āĻ•ā§°āĻŋ āĻ¸ā§‡āĻ‡āĻŸā§‹ āĻ†āĻĒā§‹āĻ¨āĻžā§° āĻĄāĻŋāĻ­āĻžāĻ‡āĻšāĻ˛ā§ˆ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ¨ā§āĻ¤ā§°āĻŖ āĻ•ā§°āĻŋāĻŦ āĻ˛āĻžāĻ—āĻŋāĻŦāĨ¤ āĻ¸āĻŽā§°ā§āĻĨāĻŋāĻ¤ āĻ‡-ā§°āĻŋāĻĄāĻžā§°āĻ˛ā§ˆ āĻĢāĻžāĻ‡āĻ˛āĻŸā§‹ āĻ•ā§‡āĻ¨ā§‡āĻ•ā§ˆ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ¨ā§āĻ¤ā§° āĻ•ā§°āĻŋāĻŦ āĻœāĻžāĻ¨āĻŋāĻŦāĻ˛ā§ˆ āĻ¸āĻšāĻžāĻ¯āĻŧ āĻ•ā§‡āĻ¨ā§āĻĻā§ā§°āĻ¤ āĻĨāĻ•āĻž āĻ¸āĻŦāĻŋāĻļā§‡āĻˇ āĻ¨āĻŋā§°ā§āĻĻā§‡āĻļāĻžā§ąāĻ˛ā§€ āĻšāĻžāĻ“āĻ•āĨ¤