Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find X and Y, if (i) X + Y = [7 0 2 5] and X - Y = [3 0 0 3]

Q7.    Find X and Y, if

            (i) X + Y = \begin{bmatrix} 7 &0 \\ 2 &5 \end{bmatrix} and X - Y = \begin{bmatrix} 3 &0 \\ 0 &3 \end{bmatrix}

Answers (1)

best_answer

      (i) The given matrices are

 X + Y = \begin{bmatrix} 7 &0 \\ 2 &5 \end{bmatrix}     and    X - Y = \begin{bmatrix} 3 &0 \\ 0 &3 \end{bmatrix}

         X + Y = \begin{bmatrix} 7 &0 \\ 2 &5 \end{bmatrix}.............................1 

        X - Y = \begin{bmatrix} 3 &0 \\ 0 &3 \end{bmatrix}.............................2

         Adding equation 1 and 2, we get 

         2 X = \begin{bmatrix} 7 &0 \\ 2 &5 \end{bmatrix} + \begin{bmatrix} 3 &0 \\ 0 &3 \end{bmatrix}

         2 X = \begin{bmatrix} 7+3 &0+0 \\ 2+0 &5+3 \end{bmatrix}

         2 X = \begin{bmatrix} 10 &0 \\ 2 &8 \end{bmatrix}

           X = \begin{bmatrix} 5 &0 \\ 1 &4 \end{bmatrix}

   Putting the value of X in equation 1, we get 

     \begin{bmatrix} 5 &0 \\ 1 &4 \end{bmatrix} +Y = \begin{bmatrix} 7 &0 \\ 2 &5 \end{bmatrix}

    Y = \begin{bmatrix} 7 &0 \\ 2 &5 \end{bmatrix} -  \begin{bmatrix} 5 &0 \\ 1 &4 \end{bmatrix}

   Y = \begin{bmatrix} 7-5 &0-0 \\ 2-1 &5-4 \end{bmatrix}

  Y = \begin{bmatrix} 2 &0 \\ 1 &1 \end{bmatrix}

 

 

 

 

 

 

 

 

 

 

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question