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anonymous
 4 years ago
if
[ 4 5
2 5/2]
find a nonzero 2 by 2 zero matrix X, such that A.X=O_2x2
anonymous
 4 years ago
if [ 4 5 2 5/2] find a nonzero 2 by 2 zero matrix X, such that A.X=O_2x2

This Question is Closed

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0is O spose to be anything special? other than a 2x2 matrix?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0and I take it the given matrix is A:

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\left[\begin{matrix}4 & 5 \\ 2 & 5/2\end{matrix}\right]\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0find a nonzero, zero matrix?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0A.X = 0 is what i think im reading, such that X is not a 0

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0so they need to be orthogonal at best

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0\[z_{11}=4x_{11}+5x_{21}=0\] \[z_{21}=2x_{11}+\frac{5}{2}x_{21}=0\] \[z_{12}=4x_{12}+5x_{22}=0\] \[z_{22}=2x_{12}+\frac{5}{2}_{22}=0\] would be our corresponding equations maybe

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0A.X= to the letter O and not 0

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0the name is unimportant methinks, but its spose to zero out

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.04x + 5y = 0 4x  5y = 0  i dont thinks its doable but i could be wrong

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0detA = 0 so its dependant for starters, i think that throws a monkeywrench in the plans

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0or maybe, since its just one vector, we can flip and negate the entries to get a perp vector; hmmm \[\begin{pmatrix}4&5\\2&\frac{5}{2}\end{pmatrix}.\begin{pmatrix}2&\frac{5}{2}\\4&5\end{pmatrix}\] maybe?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0that doesnt work either

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0i was on the right track :)

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=%7B%7B4%2C5%7D%2C%7B2%2C5%2F2%7D%7D.%7B%7B5%2C5%2F2%7D%2C%7B4%2C2%7D%7D this one!! lol
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