JEE Advanced · Quantitative Aptitude

JEE Advanced Inverse Of A Matrix Questions with Answers and Solutions

Solve real inverse of a matrix questions with step-by-step solutions — free preview, no login required.

Inside view · free preview

JEE Advanced Inverse Of A Matrix practice

Topic-wise practice3 questions 5 min

1Preview question 1 of 3 · instant answer reveal

Let

M = \left[ {\matrix{ {{{\sin }^4}\theta } \cr {1 + {{\cos }^2}\theta } \cr } \matrix{ { - 1 - {{\sin }^2}\theta } \cr {{{\cos }^4}\theta } \cr } } \right] = \alpha I + \beta {M^{ - 1}}

, where $$\alpha $$ = $$\alpha $$($$\theta $$) and $$\beta $$ = $$\beta $$($$\theta $$) are real numbers, and I is the 2 $$ \times $$ 2 identity matrix. If $$\alpha $$* is the minimum of the set {$$\alpha $$($$\theta $$) : $$\theta $$ $$ \in $$ [0, 2$$\pi $$)} and {$$\beta $$($$\theta $$) : $$\theta $$ $$ \in $$ [0, 2$$\pi $$)}, then the value of $$\alpha $$* + $$\beta $$* is

Choose one answer to reveal the solution.

This is a 3-question preview. The full 3-question timed test opens after free signup.

What visitors can use on this page

The preview questions and their step-by-step solutions are public. The full inverse of a matrix test, saved progress, performance reports, Maya AI chat, friend battles and the personalised plan open the signup modal.

JEE Advanced Inverse Of A Matrix practice FAQ

Can I solve these JEE Advanced Inverse Of A Matrix questions for free?

Yes. The preview questions, answers and step-by-step solutions on this page are free to read without any login.

What opens after free signup?

Signup unlocks the full JEE Advanced Inverse Of A Matrix topic test, saved attempts, performance analysis, Maya AI doubt-chat, friend challenges and a personalised study plan.

Are the solutions explained step by step?

Yes. Every question here carries a worked solution so you understand the method, not just the final answer.

Prepare together, not alone

JEE Advanced Inverse Of A Matrix practice

What visitors can use on this page

JEE Advanced Inverse Of A Matrix practice FAQ

Prepare together, not alone

JEE Advanced Inverse Of A Matrix practice

What visitors can use on this page

JEE Advanced Inverse Of A Matrix practice FAQ