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What type of matrix has all its elements equal? (2022)

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Question: What type of matrix has all its elements equal? (2022)

Options:

  1. Identity matrix
  2. Zero matrix
  3. Scalar matrix
  4. Diagonal matrix

Correct Answer: Scalar matrix

Exam Year: 2022

Solution:

A scalar matrix is a square matrix in which all the elements are equal to the same scalar value.

What type of matrix has all its elements equal? (2022)

Practice Questions

Q1
What type of matrix has all its elements equal? (2022)
  1. Identity matrix
  2. Zero matrix
  3. Scalar matrix
  4. Diagonal matrix

Questions & Step-by-Step Solutions

What type of matrix has all its elements equal? (2022)
  • Step 1: Understand what a matrix is. A matrix is a rectangular array of numbers arranged in rows and columns.
  • Step 2: Identify the type of matrix we are looking for. We want a matrix where all the elements are the same.
  • Step 3: Recognize that a scalar matrix is a special kind of matrix. It is a square matrix, meaning it has the same number of rows and columns.
  • Step 4: Note that in a scalar matrix, every element (number) in the matrix is equal to the same value, which is called a scalar.
  • Step 5: Conclude that a scalar matrix is the type of matrix where all elements are equal.
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