CBSE Class 12 Sample Paper for 2023 Boards

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

## (d) a ij β  0 π€βπππ π = j

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### Transcript

Question 1 If A =[π_ππ ] is a skew-symmetric matrix of order n, then (a) π_ππ = 1/π_ππ β π,π (b) π_ππ β  0 β π,π (c) π_ππ = 0, π€βπππ π = π (d) π_ππ β  0 π€βπππ π = j In a In a skew symmetric matrix Aβ = βA For example If A = [β 8(0&2&β3@β2&0&β[email protected]&9&0)] Aβ = [β 8(0&β2&[email protected]&0&9@β3&β9&0)] β΄ Aβ = β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 π_ππ = 0, π€βπππ π = π So, the correct answer is (c)

#### Davneet Singh

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.