NTA Abhyas JEE Main2020MathematicsMatricesPractice
If P = λ 0 1 1 and Q = 4 0 3 1 such that P 2 = Q , then P 3 is equal to
Options
- A8 0 7 1
- B10 1 8 0
- C7 0 8 1
- D6 0 4 1
Correct answer
A. 8 0 7 1
Step-by-step solution
P 2 = λ 0 1 1 λ 0 1 1 = λ 2 0 λ + 1 1 = 4 0 3 1 So, λ = 2 Hence, P 3 = 2 0 1 1 4 0 3 1 = 8 0 7 1