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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?
CEB72F13-FB00-4229-B56F-0663E04B9133.jpeg
(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?
CEB72F13-FB00-4229-B56F-0663E04B9133.jpeg

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

Yes it’s
9F739A7F-16F0-4C6F-A47A-18B21B2BCF98.jpeg
And their answer:
3FA766B8-DAAC-4DBB-8FC0-71622034285A.jpeg
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 :smile:
Original post by Stress2638,,,
Ohh okay so that’s why they put x2 as alpha :smile:


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

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