If a square matrix B satisfies $B^2 =I-

CUET Preparation Today

Start Free Mocks

Home Questions URX8J8UKDV

Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

If a square matrix B satisfies $B^2 =I- B $ and $B^n = 5I -8B;$ then the value of n is :

Options:

Correct Answer:

Explanation:

The correct answer is Option (2) → 6

$B^4=B^2.B^2$

$=(I-B)(I-B)$

$=I+B^2-2B$

$=2I-3B$

$B^4.B^2=5I-8D$