Question

Sum of diagnol elements of square matrix

Answer 1

Answer:

a1 1 + b2 2 + c3 3 = Diagonal elements of square matrix.

Answer 2

Answer:

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Step-by-step explanation:

Given a 2D square matrix, find sum of elements in Principal and Secondary diagonals. For example, consider the following 4 X 4 input matrix.

A00 A01 A02 A03

A10 A11 A12 A13

A20 A21 A22 A23

A30 A31 A32 A33

The primary diagonal is formed by the elements A00, A11, A22, A33.

Condition for Principal Diagonal: The row-column condition is row = column.

The secondary diagonal is formed by the elements A03, A12, A21, A30.

Condition for Secondary Diagonal: The row-column condition is row = numberOfRows – column -1.

Examples :

Input :

4

1 2 3 4

4 3 2 1

7 8 9 6

6 5 4 3

Output :

Principal Diagonal: 16

Secondary Diagonal: 20

Input :

3

1 1 1

1 1 1

1 1 1

Output :

Principal Diagonal: 3

Secondary Diagonal: 3