Maths-
General
Easy

Question

Statement‐I : The inverse of the matrix A equals left square bracket a subscript i j end subscript right square bracket subscript n cross times n end subscript where a subscript i j end subscript equals 0 comma i greater or equal than j is B equals left square bracket a subscript i j to the power of negative 1 end exponent end subscript right square bracket subscript n cross times n end subscript
Statement‐II : The inverse of singular matrix does not exist.

  1. Statement‐I is True, Statement‐II is True; Statement‐II is a correct explanation for Statement‐I.    
  2. Statement‐I is True, Statement‐II is True; Statement‐II is NOT a correct explanation for Statement‐I    
  3. Statement‐I is True, Statement‐II is False    
  4. Statement‐I is False, Statement‐II is True    

hintHint:

The statement 1 is incorrect since i and j are unknown we dont even know the value of n.
Statement 2 is correct

The correct answer is: Statement‐I is False, Statement‐II is True


    Given
    Statement‐I : The inverse of the matrix A equals left square bracket a subscript i j end subscript right square bracket subscript n cross times n end subscript where a subscript i j end subscript equals 0 comma i greater or equal than j is B equals left square bracket a subscript i j to the power of negative 1 end exponent end subscript right square bracket subscript n cross times n end subscript
    Statement‐II : The inverse of singular matrix does not exist.

    Hence option D is the suitable option

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