Using B2=I−B repeatedly:
B3=B⋅B2=B(I−B)=B−B2=B−(I−B)=2B−I.
B4=B⋅B3=B(2B−I)=2B2−B=2(I−B)−B=2I−3B.
B5=B⋅B4=2B−3B2=2B−3(I−B)=5B−3I.
B6=B⋅B5=5B2−3B=5(I−B)−3B=5I−8B.
So n=6.
If a square matrix B satisfies B2=I−B and Bn=5I−8B, then the value of n is :
Held on 7 Jun 2023 · Verified 13 Jul 2026.
4
6
8
10
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If the total cost and total revenue of a company that produces and sells $x$ units of a particular product are $C(x) = 5x + 350$ and $R(x) = 50x - x^2$ respectively, then which of the following is/are the breakeven values: (A) $x = 10$ (B) $x = 25$ (C) $x = 45$ (D) $x = 30$ Choose the correct answer from the options given below:
The supply function of a commodity is P = $x^3+2x+18$. When 4 units of commodity are sold , then producer surplus is:
The demand function P for maximising a profit monopolist is given by P=274-x², while the marginal cost is 4+3x for x units of commodity. The consumer surplus is
If $y = e^{\frac{1}{2}\log(1+ \tan^2 x)}$, then $\frac{d^2y}{dx^2}$ is equal to:
If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is:
Work through every CUET UG Applied-Mathematics PYQ, year by year.