Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 1 / 2C / a / ii / Solution

For $x=(x_1,x_2,x_3{)}^T$,The vectors $v$ and $1$ are linearly independent, and $a\ne 0$. Thus $Ax=0$ exactly whenSolving gives

Solved by gpt-5.6-sol high.