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Question

Question: A square matrix \(A = \lbrack a_{ij}\rbrack\) in which \(a_{ij} = 0\)for \(i \neq j\)and \(a_{ij} = ...

A square matrix A=[aij]A = \lbrack a_{ij}\rbrack in which aij=0a_{ij} = 0for iji \neq jand aij=ka_{ij} = k (constant) for i=ji = jis called a

A

Unit matrix

B

Scalar matrix

C

Null matrix

D

Diagonal matrix

Answer

Scalar matrix

Explanation

Solution

When aij=0a_{ij} = 0for iji \neq jand aija_{ij}is constant for i=ji = jthen the matrix [aij]n×n\lbrack a_{ij}\rbrack_{n \times n}is called a scalar matrix