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Matrices and Determinants question

2021 · 27 Jul · Shift 1 · Q39
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Matrices and Determinants question

2021 · 27 Jul · Shift 1 · Q39

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
For real numbers α\alphaα and β\betaβ, consider the following system of linear equations : x + y −-− z = 2, x + 2y +α\alphaα z = 1, 2x −-− y + z =β\betaβ. If the system has infinite solutions, then α\alphaα+β\betaβ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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