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A= \begin{bmatrix} -1 &2 \\ 3& -4 \end{bmatrix}  

Then element   a_{21}   of  A^{2}  is

  • Option 1)

    22

  • Option 2)

    -15

  • Option 3)

    -10

  • Option 4)

    7

 

Answers (1)

best_answer

As learned in concept

Multiplication of matrices -

-

 

A= \begin{bmatrix} -1 & 2\\ 3& -4 \end{bmatrix}

A^{2}= \begin{bmatrix} -1 & 2\\ 3& -4 \end{bmatrix} \begin{bmatrix} -1 & 2\\ 3& -4 \end{bmatrix}

= \begin{bmatrix} 7 & -10\\ -15 & 22 \end{bmatrix}

a_{21}=-15


Option 1)

22

Incorrect option

Option 2)

-15

Correct option

Option 3)

-10

Incorrect option

Option 4)

7

Incorrect option

Posted by

divya.saini

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