Question

Which among the following is a null matrix?
1. \(\begin{bmatrix} 1 & 0\\ 0 & 0\end{bmatrix}\)
2. \(\begin{bmatrix} 0 & 0\\ 0 & 0\end{bmatrix}\)
3. \(\begin{bmatrix} 1 & 0\\ 0 & -1\end{bmatrix}\)
4. \(\begin{bmatrix} 0 & 1\\ 1 & 0\end{bmatrix}\)

Answer 1

Correct Answer - Option 2 : \(\begin{bmatrix} 0 & 0\\ 0 & 0\end{bmatrix}\)

Concept:

Null matrix: all the elements are 0

Calculation:

All the elements of a null matrix are 0.

From the property of null matrix, \(\begin{bmatrix} 0 & 0\\ 0 & 0\end{bmatrix}\) is the correct answer.