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  • Please help! If A is an identity matrix of order 3 and B is a diagonal matrix of order 3 x 3 . Then which of the following is correct ?

If A is an identity matrix of order 3 and B is a diagonal matrix of order 3 x 3 . Then which of the following is correct ? 

  • Option 1)

    a_{11}= b_{12}

  • Option 2)

    a_{13}= b_{23}

  • Option 3)

    a_{22}= b_{22}

  • Option 4)

    a_{12}= b_{22}

 

Answers (1)

best_answer

As we have learned

Unit / Identity Matrix -

A diagonal matrix of order n which has unity for all its elements 

- wherein

 

 For identity matrix a_{ij}= 0 \forall i\neq j \; \; and\; \; a_{ij}= 1

And for diagonal matrix  a_{ij}= 0 \forall i\neq j  

Thus a_{13}= b_23=0

 


Option 1)

a_{11}= b_{12}

Option 2)

a_{13}= b_{23}

Option 3)

a_{22}= b_{22}

Option 4)

a_{12}= b_{22}

Posted by

Himanshu

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