Match List-I with List-II
|
List-I Matrix Product |
List-II Order of resultant matrix |
|
(A) $[a_{ij}]_{2×2} × [b_{ij}]_{2×4}$ |
(I) 2 × 4 |
|
(B) $[a_{ij}]_{2×1}× [b_{ij}]_{1×3}$ |
(II) Not possible |
|
(C) $[a_{ij}]_{3×2} × [b_{ij}]_{3×2}$ |
(II) 3 × 3 |
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(D) $[a_{ij}]_{3×3} × [b_{ij}]_{3×3}$ |
(IV) 2 × 3 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
|
List-I Matrix Product |
List-II Order of resultant matrix |
|
(A) $[a_{ij}]_{2×2} × [b_{ij}]_{2×4}$ |
(I) 2 × 4 |
|
(B) $[a_{ij}]_{2×1}× [b_{ij}]_{1×3}$ |
(IV) 2 × 3 |
|
(C) $[a_{ij}]_{3×2} × [b_{ij}]_{3×2}$ |
(II) Not possible |
|
(D) $[a_{ij}]_{3×3} × [b_{ij}]_{3×3}$ |
(II) 3 × 3 |
(A) $[a_{ij}]_{2\times 2} \times [b_{ij}]_{2\times 4}$
Inner dimensions: 2 and 2 → possible → result is $2\times 4$
Matches (I)
(B) $[a_{ij}]_{2\times 1} \times [b_{ij}]_{1\times 3}$
Inner dimensions: 1 and 1 → possible → result is $2\times 3$
Matches (IV)
(C) $[a_{ij}]_{3\times 2} \times [b_{ij}]_{3\times 2}$
Inner dimensions: 2 and 3 → not equal → not possible
Matches (II)
(D) $[a_{ij}]_{3\times 3} \times [b_{ij}]_{3\times 3}$
Inner dimensions: 3 and 3 → possible → result is $3\times 3$
Matches (III)
The correct matching is: A–I, B–IV, C–II, D–III.