Singularity requires determinant zero: $x(x-5)-(-3)(2)=x^2-5x+6=(x-2)(x-3)=0$. The possible values are 2 and 3. Their sum is **5,A**,also obtainable directly from the quadratic’s coefficient of x.
More Linear Algebra questions
GATE 2024 AG Q36– Given P=pmatrix2&3&7\\4&1&5pmatrix and Q=pmatrix8&11&9\\12&6&13pmatrix,find PTQ.
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GATE 2022 AG Q11– The determinant of a matrix remains unaltered if .
GATE 2022 AG Q37– For what listed values of x is pmatrix3-x&2&2\\2&4-x&1\\-2&-4&-1-xpmatrix singular?
GATE 2021 AG Q22– Find the trace of pmatrix3&2&1&4\\5&7&8&1\\2&4&6&7\\9&6&4&2pmatrix as an integer.