anonymous
  • anonymous
Find a 3x1 matrix X with entries not all zero suchthatAX =3X , where A= (1,2 ,-1) (1,0 ,1) (4,-4,5)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[ㅇㄹㄴㅁㄴㅇㄹ\nu \theta \Gamma |dw:1332837410297:dw|\Psi \mathbb{Z}^-\delta\]
anonymous
  • anonymous
This is called an eigenvector problem. If you search on wikipedia or something you'll find some solutions. I haven't done these for a while, but I think usually they don't give you the 3... AX = 3X, then AX - 3X = 0 (A-3I)X = 0 I is the identity matrix, which is 3*3 in dimensions. Now you can work out the matrix A-3I. 3I = [3, 0, 0 0,3,0 0,0,3 ] So, calculate A-3I. Now you just have the type of problem which is BX = 0. Solve that in the normal way to find the vector X.
experimentX
  • experimentX
trivial solution would be 3x1 zero matrix

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anonymous
  • anonymous
all solutions are multiples of [-1/4, 1/4, 1]. You can get that if you follow the method above.
experimentX
  • experimentX
given matrix, eigen value, and find eigen vector huh??
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=matrix+eigenvalues&a=*C.matrix+eigenvalues-_*Calculator.dflt-&f2=%7B%7B1%2C2+%2C-1%7D%2C+%7B1%2C0+%2C1%7D%2C+%7B4%2C-4%2C5%7D%7D&x=2&y=9&f=MatrixOperations.theMatrix_%7B%7B1%2C2+%2C-1%7D%2C+%7B1%2C0+%2C1%7D%2C+%7B4%2C-4%2C5%7D%7D scarydoor is right

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