Question

Match List - I with List - II:

• A. A-I, B-II, C-III, D-IV
• B. A-II, B-IV, C-III, D-I
• C. A-IV, B-II, C-III, D-I
• D. A-IV, B-II, C-I, D-III

Hint:

Logic Tip: Matrix addition follows the same basic properties as ordinary addition.

Answer 1

The Correct Option is C

Step 1:
For matrix addition: \[ A+B=B+A \] Thus: \[ A \rightarrow IV \]

Step 2:
Associative property is: \[ (A+B)+C=A+(B+C) \] Thus: \[ B \rightarrow II \]

Step 3:

• Additive identity: $A+O=A$
• Additive inverse: $A+(-A)=O$ Thus: \[ C \rightarrow III \] \[ D \rightarrow I \]

Step 4:
Final matching: \[ A-IV,\; B-II,\; C-III,\; D-I \] Hence, the correct answer is: \[ \boxed{\text{(3) A-IV, B-II, C-III, D-I}} \]