GATE IN 2006 | Linear Algebra Question 19 | Engineering Mathematics

GATE IN 2006

MCQ (Single Correct Answer)

-0.6

For a given $$2x2$$ matrix $$A,$$ it is observved that $$A\left[ {\matrix{ 1 \cr { - 1} \cr } } \right] = - 1\left[ {\matrix{ 1 \cr { - 1} \cr } } \right]$$ and
$$A\left[ {\matrix{ 1 \cr { - 2} \cr } } \right] = - 2\left[ {\matrix{ 1 \cr { - 2} \cr } } \right]$$ then the matrix $$A$$ is

$$A = \left[ {\matrix{ 1 & 1 \cr { - 1} & { - 2} \cr } } \right]\,\,\left[ {\matrix{ 1 & 0 \cr 1 & 2 \cr } } \right]\,\,\left[ {\matrix{ 2 & 1 \cr { - 1} & { - 1} \cr } } \right]$$

$$A = \left[ {\matrix{ 1 & 1 \cr { - 1} & { - 2} \cr } } \right]\,\,\left[ {\matrix{ { - 1} & 0 \cr 0 & { - 2} \cr } } \right]\,\,\left[ {\matrix{ 2 & 1 \cr { - 1} & { - 1} \cr } } \right]$$

$$A = \left[ {\matrix{ 0 & { - 2} \cr 1 & { - 3} \cr } } \right]$$

GATE IN Subjects

Engineering Mathematics

Linear Algebra Complex Variable Differential Equations Numerical Methods Calculus Vector Calculus Probability and Statistics Transform Theory