Applied Math 40S February 6, 2008

Page 1 <img data-url='document/applied-math-40s-february-6-2008.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/1.jpg' width='140' height='200' /> What does this picture have to do with matrices?

Matrix

http://flickr.com/photos/threedots/131038119/ Page 2 <img data-url='document/applied-math-40s-february-6-2008.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/2.jpg' width='140' height='200' /> A little warm up ...

Page 3 <img data-url='document/applied-math-40s-february-6-2008.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/3.jpg' width='140' height='200' /> Page 4 <img data-url='document/applied-math-40s-february-6-2008.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/4.jpg' width='140' height='200' /> Matrices and multiplication... this is called "scalar multiplication" or "multiplication by a scalar".

Page 5 <img data-url='document/applied-math-40s-february-6-2008.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/5.jpg' width='140' height='200' /> Now you try ...

Page 6 <img data-url='document/applied-math-40s-february-6-2008.html?page=6' data-page='6' class='cut-thumb lazyload' alt='Page 6: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/6.jpg' width='140' height='200' /> Now put it all together ...

Page 7 <img data-url='document/applied-math-40s-february-6-2008.html?page=7' data-page='7' class='cut-thumb lazyload' alt='Page 7: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/7.jpg' width='140' height='200' /> Now put it all together ...

Page 8 <img data-url='document/applied-math-40s-february-6-2008.html?page=8' data-page='8' class='cut-thumb lazyload' alt='Page 8: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/8.jpg' width='140' height='200' /> Now put it all together ...

Page 9 <img data-url='document/applied-math-40s-february-6-2008.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: Applied Math 40S February 6, 2008' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader034.cupdf.com/reader034/viewer/2022052601/5592887c1a28ab48468b4790/html5/thumbnails/9.jpg' width='140' height='200' /> HOMEWORKSolve for x:

Solve:

Solve for x:

Solve:

Applied Math 40S February 6, 2008

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