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Solution - Evaluate the Determinants |(Cos Theta, -sin Theta),(Sin Theta, Cos Theta)| - Determinants of Matrix of Order One and Two

ConceptDeterminants of Matrix of Order One and Two

Question

Evaluate the determinants in Exercises 1 and 2. 

`|(cos theta, -sin theta),(sin theta, cos theta)|`

Solution

`|(cos theta, -sin theta),(sin theta, cos theta)|`= (cos θ)(cos θ) − (−sin θ)(sin θ) = cos2 θ+ sin2 θ = 1

Is there an error in this question or solution?

APPEARS IN

NCERT Mathematics Textbook for Class 12 Part 1
Chapter 4: Determinants
Q: 2.1 | Page no. 108

Reference Material

Solution for question: Evaluate the Determinants |(Cos Theta, -sin Theta),(Sin Theta, Cos Theta)| concept: Determinants of Matrix of Order One and Two. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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