Let I be an identity matrix of order 2 $\times$ 2 and P = $$\left[ {\matrix{ 2 & { - 1} \cr 5 & { - 3} \cr } } \right]$. Then the value of n$\in$N for which Pn = 5I $-$$ 8P is equal to ____________.

Question

Let I be an identity matrix of order 2 $\times$ 2 and P = $$\left[ {\matrix{ 2 & { - 1} \cr 5 & { - 3} \cr } } \right]$. Then the value of n$\in$N for which Pⁿ = 5I $-$$ 8P is equal to ____________.

Correct Answer

Solution

Please login to view the detailed solution steps...

Go to DASH