Definition Of Main Diagonal

Main Diagonal of a matrix consists of the elements of a square from the upper left element proceeding to the down right element diagonally.

More About Main Diagonal

The sum of the elements of the main diagonal of a matrix is called Trace of the matrix.

Examples of Main Diagonal

The elements 1, 5, and 9 are the elements of the main diagonal of a 3 × 3 matrix.

Video Examples: Diagonal Lengths of a Parallelepiped

Solved Example on Main Diagonal

Ques: Identify the main diagonal elements of the matrix.

Choices:

A. 5, 1, - 7, 2
B. 5, 5, 8, - 2
C. 8, 6, - 7, 4
D. 4, - 2, 4
Correct Answer: A

Solution:

Step 1: Main diagonal of a matrix consists of the elements from the upper left element proceeding to the down right element diagonally.
Step 2: So, the elements 5, 1, - 7, 2 are the diagonal elements of the matrix.

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