AP EAMCET2009MathematicsMatrices

If [ array rrr 1 & -1 & x 1 & x & 1 x & -1 & 1 array ] has no inverse, then the real value of x is

Options

Correct answer

D. 1

Step-by-step solution

If matrix has no inverse it means the value of determinant should be zero. | array rrr 1 & -1 & x 1 & x & 1 x & -1 & 1 array |=0 If we put x=1 , then column Ist and IIIrd are identical. Hence, option (d) is correct.

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