Khan exercises Maths Tools 1
For which a\color{red} aa does the linear system Ax=0Ax = 0Ax=0 with A=(a0−1−616664)A= \begin{pmatrix} {\color{red} a} & 0 & -1 \\ -6 & 1 & 6 \\ 6 & 6 & 4 \end{pmatrix}A=a−66016−164 have a nontrivial solution x=(x1x2x3)≠(000)x = \begin{pmatrix}x_1 \\ x_2 \\ x_3 \end{pmatrix} \neq \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix}x=x1x2x3=000?
a\color{red} aa
Ax=0Ax = 0Ax=0
A=(a0−1−616664)A= \begin{pmatrix} {\color{red} a} & 0 & -1 \\ -6 & 1 & 6 \\ 6 & 6 & 4 \end{pmatrix}A=a−66016−164
x=(x1x2x3)≠(000)x = \begin{pmatrix}x_1 \\ x_2 \\ x_3 \end{pmatrix} \neq \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix}x=x1x2x3=000
a={\color{red}a} = a=