[大學][數學][問題]線代幾條問題

[大學][數學][問題]線代幾條問題

Rudolf166 於 星期三 十月 19, 2011 3:47 pm


1. Construct a system with more unknowns than equations, but no solution. Change the
right-hand side to zero and find all solutions x n .

2. Reduce A and B to echelon form, to find their ranks. Which variables are free?
A =
┌1 2 0 1┐
│0 1 1 0│
└1 2 0 1┘
B =
┌1 2 3┐
│4 5 6│
└7 8 9┘
Find the special solutions to Ax = 0 and Bx = 0. Find all solutions.

6. Describe the set of attainable right-hand sides b (in the column space) for
┌1 0┐           ┌b1
│0 1│┌u┐ =  │b2
└2 3┘└v┘     └b3
by finding the constraints on b that turn the third equation into 0 = 0 (after elimination).
What is the rank, and a particular solution?

Rudolf166
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文章: 1
註冊時間: 2011-10-19

Tzwan 於 星期六 六月 08, 2013 9:42 pm


1.
    左鍵: 點擊縮放; 右鍵: 觀看原圖


2.
    左鍵: 點擊縮放; 右鍵: 觀看原圖

6.
    左鍵: 點擊縮放; 右鍵: 觀看原圖

Tzwan
初學者
初學者
 
文章: 33
註冊時間: 2013-04-01






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