Class 12 / Mathematics

Aptitude – Mathematical/Numerical Concepts

Question 14 of 70

Book: TN-MATH-12-V1Chapter 1

A =

t an (θ /2); - t an (θ /2) 1

மற்றும் AB = I₂ எனில், B =

(cos²(θ/2)) A

(cos²(θ/2)) A^T

(cos² θ) I

(sin²(θ/2)) A

Correct AnswerB.

(cos²(θ/2)) A^T

Explanation

AB = I₂ என்பதால் B = A⁻¹ = (1/|A|) adj A. இங்கு |A| = 1 + tan²(θ/2) = sec²(θ/2) மற்றும் adj A =

- t an (θ /2); t an (θ /2) 1

= A^T. எனவே B = (1/sec²(θ/2)) A^T = (cos²(θ/2)) A^T ஆகும்.