The matrix $\begin{bmatrix}0&0&0\\0&0&0\\0&0&0\end{bmatrix}$ is a
(A) Null matrix
(B) Unit matrix
(C) Symmetric matrix
(D) Skew-symmetric matrix
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A), (C) and (D) only
The given matrix has all elements equal to $0$.
So it is a null matrix.
Also, its transpose is itself, so it is symmetric.
And since $A^{T}=-A$ also holds for the zero matrix, it is skew-symmetric as well.
It is not a unit matrix.
final answer: $\text{(A), (C) and (D)}$