Match List I with List II
| List I | List II | ||
| A. | \(\begin{bmatrix}2 & 3 & 0\\1 & 1 & -2\end{bmatrix}\) | I. | null matrix |
| B. | \(\begin{bmatrix}0 & 0\end{bmatrix}\) | II. | \(2 \times 3\) matrix |
| C. | \(\begin{bmatrix}2 & 2\\3 & 0\end{bmatrix}\) | III. | \(3 \times 2\) matrix |
| D. | \(\begin{bmatrix}1 & 0\\-1 & -1\\0 & 3\end{bmatrix}\) | IV. | square matrix |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A-II, B-I, C-IV, D-III
The order of a matrix is (number of rows) × (number of columns).
A. \(\begin{bmatrix}2 & 3 & 0\\1 & 1 & -2\end{bmatrix}\)
This matches II. \(2 \times 3\) matrix: 2 rows and 3 columns.
B. \(\begin{bmatrix}0 & 0\end{bmatrix}\)
This matches I. null matrix: every entry is zero.
C. \(\begin{bmatrix}2 & 2\\3 & 0\end{bmatrix}\)
This matches IV. square matrix: 2 rows and 2 columns.
D. \(\begin{bmatrix}1 & 0\\-1 & -1\\0 & 3\end{bmatrix}\)
This matches III. \(3 \times 2\) matrix: 3 rows and 2 columns.