First slide

Operations of matrix

Question

The matrix $A = [\begin{array}{rrr} 1 - 3 - 4 \\ - 1 3 4 \\ 1 - 3 - 4 \end{array}]$ is nilpotent
index

Moderate

A

2
B

3
C

4
D

6

Solution

We know that a square matrix A is nilpotent
index n, if n is the least positive integer such that $A^{n} = O$ O(null matrix)
For the given matrix, we have $A^{n} = O$
Hence, it is a nilpotent matrix of index 2

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