Match List-I with List-II List-

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

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:

Options:

(A)-(II), (B)-(IV), (C)-(I), (D)-(III)

(A)-(II), (B)-(IV), (C)-(III), (D)-(I)

(A)-(II), (B)-(I), (C)-(III), (D)-(IV)

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Correct Answer:

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Explanation:

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 $\left\{\begin{matrix}a_{ij}=0&,i≠j\\a_{ij}=1&,i=j\end{matrix}\right.$