# Linear algebra matrices

For this matrices if you let 𝘃1=(x1,x2,x2) and let x1= alpha then what would x2 and x3 be?

Would they both be =0?
(edited 1 year ago)
Original post by Stress2638,,,
For this matrices if you let 𝘃1=(x1,x2,x2) and let x1= alpha then what would x2 and x3 be?

Would they both be =0?

Can you post the original question?
Original post by mqb2766
Can you post the original question?

Yes it’s

Ok, so you were asking about the evector for evalue=3? Obviously x2 can take any value as its coefficients are zero in each equation. The last row gives x3=0 and the first row gives x1=0.
Original post by mqb2766
Ok, so you were asking about the evector for evalue=3? Obviously x2 can take any value as its coefficients are zero in each equation. The last row gives x3=0 and the first row gives x1=0.

Ohh okay so that’s why they put x2 as alpha
Original post by Stress2638,,,
Ohh okay so that’s why they put x2 as alpha

Yes. You know that when determining the evectors the matrix is singular and so the evectors will be like this.