If A is a upper triangular matrix of order 3 x 3 then which of the following is TRUE? 

  • Option 1)

    a_{ij}=0

  • Option 2)

    a_{ij}= 0 \forall \; \, i> j

  • Option 3)

    a_{ij}= 0 \forall \, \, \: i< j

  • Option 4)

    none of these 

 

Answers (1)
H Himanshu

As we have learned

Upper Triangular Matrix -

A square matrix in which all the elements below the principal diagonal are Zero 

- wherein

a_{ij}=0 , i> j

 

 For upper triangular matrices , a_{ij} = 0 \forall\: \: \: i > j  i.e element below the diagonal 

 


Option 1)

a_{ij}=0

Option 2)

a_{ij}= 0 \forall \; \, i> j

Option 3)

a_{ij}= 0 \forall \, \, \: i< j

Option 4)

none of these 

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