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Matrices and Determinants question

2020 · 6 Sep · Shift 2 · Q26

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JEE Main
Mathematics
Matrices and Determinants
2020 · 6 Sep · Shift 2 · Q26

Matrices and Determinants question

2020 · 6 Sep · Shift 2 · Q26

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

The sum of distinct values of

\lambda

for which the system of equations

\left( {\lambda - 1} \right)x + \left( {3\lambda + 1} \right)y + 2\lambda z = 0\left( {\lambda - 1} \right)x + \left( {4\lambda - 2} \right)y + \left( {\lambda + 3} \right)z = 02x + \left( {3\lambda + 1} \right)y + 3\left( {\lambda - 1} \right)z = 0

has non-zero solutions, is

\underline{\hspace{2cm}}

.

Numerical answer

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