Solveeit Logo
Login

Question

Question: If \(A = \lbrack a_{ij}\rbrack\) is a scalar matrix then trace of A is...

If A=[aij]A = \lbrack a_{ij}\rbrack is a scalar matrix then trace of A is

A

∑i∑jaij\sum_{i}^{}{\sum_{j}^{}a_{ij}}

B

∑iaij\sum_{i}^{}a_{ij}

C

∑jaij\sum_{j}^{}a_{ij}

D

∑iaii\sum_{i}^{}a_{ii}

Answer

∑iaii\sum_{i}^{}a_{ii}

Explanation

Solution

The trace of A=∑i=1naii=A = \sum_{i = 1}^{n}{a_{ii} =}Sum of diagonal elements.