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Class 12 Matrices · Short Answer2 Marksmatrix_equality

Class 12 Maths · Matrices · Short Answer #95

If \(\begin{bmatrix}2 & 3\\5 & 7\end{bmatrix}\)\(\begin{bmatrix}1 & -3\\-2 & 4\end{bmatrix}\)=\(\begin{bmatrix}-4 & 6\\-9 & x\end{bmatrix}\), find x.

✅ Step-by-Step Solution

Final Answer: 13
  1. The (2,2) entry is obtained from row [5,7] and column [−3,4]ᵀ.
  2. Its value is 5·(−3)+7·4=−15+28=13. The other entries are −4,6,−9 as given.
  3. Corresponding-entry equality gives x=13.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The (2,2) entry is obtained from row [5,7] and column [−3,4]ᵀ.
  • [1 mark] Its value is 5·(−3)+7·4=−15+28=13. The other entries are −4,6,−9 as given.
  • [0.5 marks] Corresponding-entry equality gives x=13.

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