Suppose bmatrix _ k=0 ^ n k & _ k=0 ^ n ^nC_kk^2 _ k=0 ^ n ^nC_kk & _ k=0 ^ n ^nC_k3^k bmatrix =0 holds for some positive integer n. Then _ k=0 ^ n ^nC_k k+1 equals _____

JEE Advanced 2019 Mathematics question

Suppose

\begin{bmatrix}\sum_{k=0}^{n}k & \sum_{k=0}^{n}{}^nC_kk^2\\ \sum_{k=0}^{n}{}^nC_kk & \sum_{k=0}^{n}{}^nC_k3^k\end{bmatrix}=0

holds for some positive integer . Then equals

Answer: 6.2

, , , . Determinant

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-026960