Find u and usuch that the null space for the matrix ú= V= 1 0 0 2 1 0 1 104 17 -127 2 -10 is span{, }. -5

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 32P
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Find u and such that the null space for the matrix
V =
-1 2 1 17 -12
0012
0 104 -5
-10 is span{u, }.
Transcribed Image Text:Find u and such that the null space for the matrix V = -1 2 1 17 -12 0012 0 104 -5 -10 is span{u, }.
Let A =
9
-4]
We want to determine if the system Ax = b has a solution for every b E R².
To check this, we add
B
We conclude that
O There is not a solution for every beR²
There is a solution for every b E R²
times the first row to the second.
Transcribed Image Text:Let A = 9 -4] We want to determine if the system Ax = b has a solution for every b E R². To check this, we add B We conclude that O There is not a solution for every beR² There is a solution for every b E R² times the first row to the second.
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