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CBSE Class 12 Sample Paper for 2023 Boards

Practice Questions CBSE - Maths Class 12 (2023 Boards)Β β†’
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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 May 29, 2023 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 

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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’[email protected]&9&0)] A’ = [β– 8(0&βˆ’2&[email protected]&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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.