Question

show that trace of a diagonal matrix of order 3 with entries integer is integer.​

Answer 1

Answer:

Hey Sis

Step-by-step explanation:

Trace of a square matrix is the sum of diagonal elements of that matrix from 1st element to last element of that matrix.

For example

| 1 0 0 |

| 0 5 0 |

| 0 0 6 |

is a square diagonal matrix.So, sum of its diagonal elements is called trace of matrix.

Here you can see that its diagonal elements are integers

So if you find its trace i.e

Trace of matrix= a11+a22+a33

=1+5+6=11

You find that trace is also an integer.

Hence proved

Hope it will help you

The lines show that it is a matrix not determinant