Match the LIST-I with LIST-II
| LIST-I | LIST-II | ||
| A. | Row matrix | I. | \( \begin{bmatrix}1 & 0 & 0\\0 & 2 & 0\\0 & 0 & 3\end{bmatrix} \) |
| B. | Scalar matrix | II. | \( \begin{bmatrix}1\\2\\3\end{bmatrix} \) |
| C. | Column matrix | III. | \( \begin{bmatrix}1 & 2 & 3\end{bmatrix} \) |
| D. | Diagonal matrix | IV. | \( \begin{bmatrix}2 & 0 & 0\\0 & 2 & 0\\0 & 0 & 2\end{bmatrix} \) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A - III, B - IV, C - II, D - I
(A) Row matrix
This matches (III): it has a single row, [1 2 3].
(B) Scalar matrix
This matches (IV): a diagonal matrix with all diagonal entries equal (here 2), that is, 2I.
(C) Column matrix
This matches (II): it has a single column.
(D) Diagonal matrix
This matches (I): all off-diagonal entries are 0 and the diagonal entries 1, 2, 3 are not all equal.
So the matching is A-III, B-IV, C-II, D-I.
Note: Some List-I items fit more than one List-II entry. Every scalar matrix is also a diagonal matrix, so (D) Diagonal matrix fits both (I) and (IV). The question can still be solved because (A), (B) and (C) have only one possible match each, and Option (3) is the only option containing A-III, B-IV and C-II.
CBSE Applied Mathematics (Class XII):
Algebra
