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  • Stuck here, help me understand: - Matrices and Determinants - JEE Main-2

If A  is upper triangular matrix with definition 

a_{ij}= \left \{ i-j ; when \; \; i > j \right.

      = \left \{ i+j ; when \; \; i = j \right. 

     = \left \{0 ; when \; \; i < j \right.

and order of A is 3 x 3 . Then the value of |A| = 

  • Option 1)

    24

  • Option 2)

    12

  • Option 3)

    48

  • Option 4)

    none of these 

 

Answers (1)

best_answer

As we have learned

Lower Triangular Matrix -

A square matrix in which all the element above the principal diagonal are Zero

- wherein

a_{ij}= 0 , i< j

 

 a_{11}= 1+1=2 ; a_{22}= 2+2=4; a_{33}=3+3=6

|A|= a_{1}\times a_{22}\times a_{33}= 2\times4\times6=48

 


Option 1)

24

Option 2)

12

Option 3)

48

Option 4)

none of these 

Posted by

Himanshu

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