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IF  A = \begin{bmatrix} 3 & 2\\ 0&5 \end{bmatrix} \; \; and \; \; B= \begin{bmatrix} 1 & 0\\ 2&3 \end{bmatrix} ; then Which of the following is a triangular matrix ?

  • Option 1)

    A + B

  • Option 2)

    A - B

  • Option 3)

    AB

  • Option 4)

    none of these 

 

Answers (1)

best_answer

As we have learned

Triangular Matrix -

Upper Triangular or Lower Triangular matrix

- wherein

 

 AB= \begin{bmatrix} 3 & 2\\ 0&5 \end{bmatrix} \begin{bmatrix} 1 & 0\\ 2&3 \end{bmatrix}= \begin{bmatrix} 7 & 6\\ 10&15 \end{bmatrix}

So none of these is a triangular matrix 

 

 


Option 1)

A + B

Option 2)

A - B

Option 3)

AB

Option 4)

none of these 

Posted by

Himanshu

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