Match List – I with List – II.
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LIST I |
LIST II |
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A. In a square matrix, the number of rows and columns are |
I. AT = -A |
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B. The number of elements in a matrix of order 3 × 4 is |
II. same |
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C. A square matrix A is a symmetric matrix if |
III. AT = A |
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D. A square matrix A is a skew-symmetric matrix if |
IV. 12 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A-II, B-IV, C-III, D-I
$\text{(A)}\; \text{Square matrix} \Rightarrow \text{rows = columns} \Rightarrow \text{(II)}$
$\text{(B)}\; 3\times4 \Rightarrow 12 \text{ elements} \Rightarrow \text{(IV)}$
$\text{(C)}\; \text{Symmetric} \Rightarrow A^T = A \Rightarrow \text{(III)}$
$\text{(D)}\; \text{Skew-symmetric} \Rightarrow A^T = -A \Rightarrow \text{(I)}$
A–II,\; B–IV,\; C–III,\; D–I