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If X and Y are two matrices such that   X+2Y=\begin{bmatrix} 5 & 2\\ 8 & 9 \end{bmatrix}  and  X-Y=\begin{bmatrix} 2 & -1\\ 2 & 0 \end{bmatrix}  then find the matrix Y.

  • Option 1)

    \begin{bmatrix} 3 & 3\\ 6 & 9 \end{bmatrix}

  • Option 2)

    \begin{bmatrix} 1 & 1\\ 2 & 3 \end{bmatrix}

  • Option 3)

    \begin{bmatrix} 1& 1\\ 3 & 2 \end{bmatrix}

  • Option 4)

    \begin{bmatrix} 3 & 3\\ 9 & 6 \end{bmatrix}

 

Answers (1)

best_answer

As we learnt

 

Addition of Matrices -

 

Matrices of the same size can be added such that their corresponding elements get added.

- wherein

 

 Subtract both matrices

3Y=\begin{bmatrix} 3 &3 \\ 6 & 9 \end{bmatrix}\Rightarrow Y= \begin{bmatrix} 1 &1 \\ 2 & 3 \end{bmatrix}

 


Option 1)

\begin{bmatrix} 3 & 3\\ 6 & 9 \end{bmatrix}

Option 2)

\begin{bmatrix} 1 & 1\\ 2 & 3 \end{bmatrix}

Option 3)

\begin{bmatrix} 1& 1\\ 3 & 2 \end{bmatrix}

Option 4)

\begin{bmatrix} 3 & 3\\ 9 & 6 \end{bmatrix}

Posted by

Himanshu

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