Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Linear Algebra System of Linear Equations
Let v1, . . . , v9 be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9 ∈ ℝ, not all zero, be such that \(\rm \sum^9_{i=1}\) aivi = 0. Then the system Ax = \(\rm \sum^9_{i=1}\) vi has
1
no solution
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a unique solution
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more than one but only finitely many solutions
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infinitely many solutions