06-240/Homework Assignment 9

From Drorbn
Revision as of 05:00, 28 April 2007 by 200.118.2.165 (Talk)

Jump to: navigation, search

nextel ringtones casino com online cheap lipitor tracfone ringtones free ericsson ringtones wwe ringtones buy fioricet sony ericsson ringtones cheap carisoprodol clonazepam online free qwest ringtones paxil online cheap vicodin cheap alprazolam propecia xanax online cheap xanax cheap didrex cheap phentermine didrex online valium without prescription generic norco free nokia ringtones sony ringtones 10 best casino online viagra online nextel ringtones ultram online cool ringtones cheap lorazepam cingular ringtones cheap valium real ringtones free qwest ringtones alprazolam online carisoprodol online free funny ringtones hydrocodone online cheap valium buy hgh cheap ultracet nokia ringtones picture pill valium lorazepam online free sony ringtones cheap nexium free polyphonic ringtones cheap zoloft free cool ringtones snorting valium tramadol online free mp3 ringtone cheap fioricet cheap ultracet cheap xanax vicodin online meridia online best casino gambling online valium dosage generic xanax cheap prozac cheap carisoprodol cheap propecia buy lisinopril alprazolam online music ringtones alprazolam online free real ringtone but propecia motorola ringtones but soma tenuate online adipex online meridia online samsung ringtones free mtv ringtones free qwest ringtones cheap carisoprodol free sonyericsson ringtones cheap clonazepam free real ringtones cheap diazepam free mono ringtones free verizon ringtone clonazepam online free wwe ringtones online didrex free sprint ringtones buy adipex cingular ringtones cheap tramadol advice casino online free sharp ringtones cyclobenzaprine online free sprint ringtones valium online meridia online sonyericsson ringtones alltel ringtones free funny ringtones ultracet online music ringtones valium online cialis online buy phentermine free mtv ringtones levitra online free ringtones clonazepam online free verizon ringtones viagra online ambien online free nextel ringtones lexapro and valium ambien online wellbutrin online buy wellbutrin free tracfone ringtones mp3 ringtones free real ringtones phentermine cheap soma diazepam online norco online cheap fioricet cingular ringtones real ringtones cheap albuterol free polyphonic ringtones prozac online cheap cialis ambien celexa online order propecia samsung ringtones motorola ringtones funny ringtones sprint ringtones sprint ringtones cheap phentermine free ringtones kyocera ringtones buy zyban free mono ringtones buy ultram xenical free real ringtone xenical online free cingular ringtones kyocera ringtones free sonyericsson ringtones valium overdose free ericsson ringtones but fioricet but soma wellbutrin online fioricet online cheap wellbutrin free sharp ringtones what does valium do buy nexium midi ringtones sonyericsson ringtones paxil online free midi ringtones valium sale cheap ambien free sprint ringtones cheap adipex cheap ativan nexium online sagem ringtones cheap ativan mono ringtones lorazepam online free ringtones mono ringtones free real ringtones ativan online buy phentermine cheap norco ericsson ringtones cialis online cheap ultram nokia ringtones cheap levitra free real ringtones ericsson ringtones cheap ortho free free ringtones free samsung ringtones cheap cyclobenzaprine cheap wellbutrin punk ringtones cool ringtones clomid online alltel ringtones cheap lortab diazepam free sagem ringtones

Read all of chapter 4 in our textbook. Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread sections 5.1 and 5.2, just to get a feel for the future.

Solve problems 1, 2, 3, 6, 22 and 23 on pages 220-222 and problems 9, 11, 20, 21, 22 and 24 on pages 228-230 but submit only your solutions of the underlined problems. This assignment is due at the tutorials on Thursday November 30.

Just for fun. A certain 100\times 100 matrix A of random numbers between 0 and 1 is fed into a computer called Golem, capable of about 10^9 arithmetic operations per second (between floating point numbers, at roughly 14 decimal digits of precision).

  • Estimate how long it will take Golem to compute \det A using the explicit recursive formula.
  • As you may know, glass is really a liquid and it slowly flows with gravity. How many times will you need to replace your computer screen before the computation is done?
  • Assuming you are ready to wait and shuffle screens, will you trust the results? (Remember that even if electrical power will be available to eternity and electronic components will never fail, every time a computer adds or multiplies two 14-digit numbers it makes a rounding error of size around 10^{-14}).
  • Estimate how long it will take Golem to compute \det A using row operations.
  • Assuming you are ready to wait, will you trust the results (remembering the same comment as above)? How many screens will you go through this time?


06-240-Det100x100.png
Computed on Dror's laptop in a fraction of a second. The matrix is cropped, of course.