Ch.1 Solutions Pg30

Ch.1 Solutions Pg30 - |Chapter 1 ISM Linear Algebra 5 The...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: |Chapter 1 ISM: Linear Algebra 5?. The second measurement in the problem tells us that 4 sparrows and 1 swallow weigh 58. 59. as much as l sparrow and 5 swallows. We will immediately interpret this as 3 sparrows weighing the same as 4 swallows. The other measurement we use is that all the birds together weigh 1E liang. Setting \$1 to he the we' t of a sparrow, and \$3 to be the weight of a swallow, we ﬁnd the augmented matrix 415 representing these two 5 6: 16 equations. 1 a: 3 We reduce this to I 15' , meaning that each sparrow weighs 3 liang, and each . 19 IDLE 19 swallow weighs 1—2; liang. This problem gives us three dilferent combinations of horses that can pull exactly 4|] don up a hill. We condense the statements to ﬁt our needs, saying that, One military horse and one ordinaryr horse can pull 4D dart, two ordinary and one weak horse can pull 4|] den and one military and three weak horses can also pull 4|] den. With this information, we set up our matrix: Ill ; [ll :3 , which reduces to 1 I] 3 ‘ 4e 1 U I] g D 1 I] % [1 ﬂ 1 \$ Thus, the military horses can pull 4—? don, the ordinary horses can pull % den and the weak horses can pull 4—,? don each. Here, let W he the depth of the well. 14 +3 —W = [I BE +6" —W = G Then our system heoomes 46' +3 —W = ﬂ . 5D +E —W = II] A +BE —W = [I We transform this system into an augmented matrix, then perform a prolonged reduction 3D ...
View Full Document

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern