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Let A be a 3*3 real matrix such that \[ A\!\beginpmatrix1\\0\\1\endpmatrix =2\!\beginpmatrix1\\0\\1\endpmatrix,\qquad A\!\beginpmatrix-1\\0\\1\endpmatrix =4\!\beginpmatrix-1\\0\\1\endpmatrix,\qquad A\!\beginpmatrix0\\1\\0\endpmatrix =2\!\beginpmatrix0\\1\\0\endpmatrix. \] Then, the system (A-3I)\... | Watch the step-by-step video solution for this NIMCET PYQ.