Consider matrix A = \left[\begin{array}{cc}k & 2k \ k^{2\end{array}−k , k^{2} ; ]} and vector x = \left[\begin{array}{c}x_{1\end{array} ; x_{2} ; ]}. The number of distinct real values of k for which the equation Ax = 0 has infinitely many solution is________

GATE Electronics and Communications (EC) 2018 Solved Paper

Question : 32 of 65

Marks: +1, -0

Consider matrix

A = {[\table k , 2k ; k^{2}−k , k^{2} ; ]}

and vector

x = {[\table x_{1} ; x_{2} ; ]}

. The number of distinct real values of k for which the equation Ax = 0 has infinitely many solution is________

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