Match List-I with List-II
|
List-I Type of matrix |
List-II Conditions |
|
(A) Square matrix A |
(I) $A= [a_{ij}]_{m×m}$ where $\left\{\begin{matrix}a_{ij}=0&,i≠j\\a_{ij}=k&,i=j\end{matrix}\right.$, where $k≠0$ is constant. |
|
(B) Scalar Matrix A |
(II) $A= [a_{ij}]_{m×m}$ |
|
(C) Diagonal matrix A |
(III) $A= [a_{ij}]_{m×m}$ where where $\left\{\begin{matrix}a_{ij}=0&,i≠j\\a_{ij}=1&,i=j\end{matrix}\right.$ |
|
(D) Identity matrix A |
(IV) $A= [a_{ij}]_{m×m}$ where $a_{ij} = 0, i≠j$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
|
List-I Type of matrix |
List-II Conditions |
|
(A) Square matrix A |
(II) $A= [a_{ij}]_{m×m}$ |
|
(B) Scalar Matrix A |
(I) $A= [a_{ij}]_{m×m}$ where $\left\{\begin{matrix}a_{ij}=0&,i≠j\\a_{ij}=k&,i=j\end{matrix}\right.$, where $k≠0$ is constant. |
|
(C) Diagonal matrix A |
(IV) $A= [a_{ij}]_{m×m}$ where $a_{ij} = 0, i≠j$ |
|
(D) Identity matrix A |
(III) $A= [a_{ij}]_{m×m}$ where where $\left\{\begin{matrix}a_{ij}=0&,i≠j\\a_{ij}=1&,i=j\end{matrix}\right.$ |