# 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

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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