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Matrices and Determinants question

2017 · Shift 1 · Q26
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  5. /2017 · Shift 1 · Q26

Matrices and Determinants question

2017 · Shift 1 · Q26

JEE AdvancedMathematicsMatrices and DeterminantsNumerical+3 / −1
For a real number α\alphaα, if the system [1αα2α1αα2α1][xyz]=[1−11]\left[ {\begin{matrix} 1 & \alpha & {{\alpha ^2}} \\ \alpha & 1 & \alpha \\ {{\alpha ^2}} & \alpha & 1 \\ \end{matrix} } \right]\left[ {\begin{matrix} x \\ y \\ z \\ \end{matrix} } \right] = \left[ {\begin{matrix} 1 \\ { - 1} \\ 1 \\ \end{matrix} } \right]​1αα2​α1α​α2α1​​​xyz​​=​1−11​​ of linear equations, has infinitely many solutions, then 1 +α\alphaα+α\alphaα 2 =
Numerical answer
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