- Thread starter
- #1

Let A be a 3X3 matrix with a,b,c being it's columns. It is known that there exist x such that:

[tex]A^{17}\cdot \begin{pmatrix} 1\\ 2\\ x \end{pmatrix}= \begin{pmatrix} 0\\ 0\\ 0 \end{pmatrix}[/tex]

Which statement is the correct one:

1) a,b and c are linearly independent

2) a,b and c are linearly dependent

3) transpose((1,2,x)) is linear combination of a,b,c

4) the system:

[tex]A\cdot \begin{pmatrix} 1\\ 2\\ x \end{pmatrix}[/tex]

has a non trivial solution

The correct answer is (2), but I don't understand why it is correct...

thanks.