Maths-
General
Easy

Question

Let A equals open curly brackets table attributes columnalign left end attributes row cell c o s to the power of negative 1 end exponent x end cell cell c o s to the power of negative 1 end exponent y end cell cell c o s to the power of negative 1 end exponent end cell z row cell c o s to the power of negative 1 end exponent y end cell cell c o s to the power of negative 1 end exponent z end cell cell c o s to the power of negative 1 end exponent x end cell blank row cell c o s to the power of negative 1 end exponent z end cell cell c o s to the power of negative 1 end exponent x end cell cell c o s to the power of negative 1 end exponent y end cell blank end table close curly brackets such that vertical line A vertical line equals 0, then maximum value of x plus y plus z is

  1. 3    
  2. 0    
  3. 1    
  4. 2    

The correct answer is: 3

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Statement‐II : The inverse of singular matrix does not exist.

Hence option D is the suitable option

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.

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Let P equals open square brackets a subscript i j end subscript close square brackets be a 3 cross times 3 matrix and let Q equals left square bracket b subscript i j end subscript right square bracket, where b subscript i j end subscript equals 2 to the power of i plus j end exponent a subscript i j end subscript for 1 less than i comma j less than 3 If the determinant of P is 2, then the determinant of the matrix Q is ‐

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