Let M = (In - 1/n11^T) be a matrix, where 1 = (1,1,1, … ,1)^T in R^n and In is the identity matrix of order n. Which of the following options is/are correct?

Q52Section DA (Data Science and Artificial Intelligence (Q11–Q65))52 of 65

Properties of the projection (centering) matrix

Let $M = (I_n - \frac{1}{n}\mathbf{1}\mathbf{1}^T)$ be a matrix, where $\mathbf{1} = (1,1,1, … ,1)^T \in \mathbb{R}^n$ and $I_n$ is the identity matrix of order $n$ . Which of the following options is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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