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

Practice Questions

Q1
What type of matrix has all its diagonal elements as 1 and all other elements as 0? (2023)
  1. Identity matrix
  2. Zero matrix
  3. Diagonal matrix
  4. Scalar matrix

Questions & Step-by-Step Solutions

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.
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