CBSE Class 12 Sample Paper for 2023 Boards

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Question 1 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 12, 2026 by

If A =[a ij ] is a skew-symmetric matrix of order n, then

(a) a ij = 1/a ji Β βˆ€ 𝑖,𝑗 Β 

(b) a ij β‰  0 βˆ€ 𝑖,𝑗

(c) a ij = 0, π‘€β„Žπ‘’π‘Ÿπ‘’ 𝑖 = 𝑗

(d) a ij β‰  0 π‘€β„Žπ‘’π‘Ÿπ‘’ 𝑖 = j

Β 

[MCQ Class 12] If A =[aij] is a skew-symmetric matrix of order n, then - CBSE Class 12 Sample Paper for 2023 Boards

part 2 - Question 1 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

Question 1 If A =[π‘Ž_𝑖𝑗 ] is a skew-symmetric matrix of order n, then (a) π‘Ž_𝑖𝑗 = 1/π‘Ž_𝑗𝑖 βˆ€ 𝑖,𝑗 (b) π‘Ž_𝑖𝑗 β‰  0 βˆ€ 𝑖,𝑗 (c) π‘Ž_𝑖𝑗 = 0, π‘€β„Žπ‘’π‘Ÿπ‘’ 𝑖 = 𝑗 (d) π‘Ž_𝑖𝑗 β‰  0 π‘€β„Žπ‘’π‘Ÿπ‘’ 𝑖 = j In a In a skew symmetric matrix A’ = βˆ’A For example If A = [β– 8(0&2&βˆ’3@βˆ’2&0&βˆ’9@3&9&0)] A’ = [β– 8(0&βˆ’2&3@2&0&9@βˆ’3&βˆ’9&0)] ∴ A’ = βˆ’A So, A is a skew symmetric matrix Now, We note that in every skew symmetric matrices Diagonal elements are zero i.e. a11 = 0, a22 = 0, a33 = 0 Thus, we can say that 𝒂_π’Šπ’‹ = 0, π‘€β„Žπ‘’π‘Ÿπ‘’ 𝑖 = 𝑗 So, the correct answer is (c)

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