Solve this tricky Column Matrix equation

  • #1

Homework Statement


Solve the matrix equation:

[10 1 9
1 4 3
2 -1 3] X = 3X

where X is a column matrix. Please show all the steps, thanks.

The Attempt at a Solution



I think the solution is X = kU, where k is any constant and U is the vector...
yet not really sure how to do this...can somebody show me all the steps?
 

Answers and Replies

  • #2
dx
Homework Helper
Gold Member
2,011
18
Hint: Let A be the matrix. Then you want to solve Ax = 3x. This is equivalent to (A-3I)x = 0, where I is the identity matrix. Write it in this form and it will be easier to see a solution.
 

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