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NCERT Class 12 · Ch 3 Exercise 3.1 · Q1

NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.1 Question 1

For A=\(\left[\begin{matrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt{3} & 1 & -5 & 17\end{matrix}\right]\), give (i) its order, (ii) its number of entries, (iii) a₁₃,a₂₁,a₃₃,a₂₄,a₂₃.

💡 Concept Hints

  1. Check the matrix orders and the meaning of the requested operation before calculating.
  2. Keep row and column indices in order. Compare corresponding entries only after the matrix expressions have compatible dimensions.

✅ Step-by-Step Solution

Final Answer: (i) 3×4; (ii) 12; (iii) 19,35,−5,12,5/2.
  1. There are 3 rows and 4 columns, so the order is 3×4 and the entry count is 3·4=12.
  2. For aᵢⱼ, i selects the row and j the column. Reading the requested entries gives 19,35,−5,12,5/2, respectively.

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