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Choose the Correct Answer in the Following Question If a = `[(Alpha, Beta),(Gamma, -alpha)]` is Such that A2 = I Then - Mathematics

Choose the correct answer in the following questions:

if A = `[(alpha, beta),(gamma, -alpha)]` is such that A2 = I then

(A) 1 + α² + βγ = 0

(B) 1 – α² + βγ = 0

(C) 1 – α² – βγ = 0

(D) 1 + α² – βγ = 0

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Solution

Answer: C

On comparing the corresponding elements, we have:

 

Concept: Types of Matrices
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APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 13 | Page 101
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