What type of matrix has all its diagonal elements as 1 and all other elements as

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Question: What type of matrix has all its diagonal elements as 1 and all other elements as 0? (2023)

Options:

Correct Answer: Identity matrix

Exam Year: 2023

Solution:

An identity matrix is defined as a square matrix with all diagonal elements equal to 1 and all other elements equal to 0.

What type of matrix has all its diagonal elements as 1 and all other elements as 0? (2023)

What type of matrix has all its diagonal elements as 1 and all other elements as 0? (2023)

Step 1: Understand what a matrix is. A matrix is a rectangular array of numbers arranged in rows and columns.
Step 2: Identify what diagonal elements are. Diagonal elements are the numbers that run from the top left to the bottom right of the matrix.
Step 3: Recognize that the identity matrix is a special type of square matrix. A square matrix has the same number of rows and columns.
Step 4: Learn the definition of an identity matrix. It has all diagonal elements equal to 1.
Step 5: Note that all other elements (those not on the diagonal) are equal to 0.
Step 6: Conclude that the matrix described in the question is indeed an identity matrix.

No concepts available.