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A matrix that has the same number of rows as columns is called a:a.Square matrixb.Diagonal matrixc.Identity matrixd.Row matrix

Question

A matrix that has the same number of rows as columns is called a:

  • a. Square matrix
  • b. Diagonal matrix
  • c. Identity matrix
  • d. Row matrix
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Solution

Break Down the Problem

  1. Identify the type of matrix being described.
  2. Compare each option with the description given.

Relevant Concepts

  • A square matrix is defined as a matrix that has the same number of rows and columns.
  • A diagonal matrix has non-zero elements only on its main diagonal and can be square but is not defined solely by the number of rows and columns.
  • An identity matrix is a special type of diagonal matrix where all diagonal elements are 1.
  • A row matrix is a matrix with only one row.

Analysis and Detail

  • The description given matches the definition of a square matrix.
  • The other options do not meet the criterion of having the same number of rows as columns.

Verify and Summarize

The analysis confirms that a matrix must simply have equal numbers of rows and columns to be classified as a square matrix.

Final Answer

The correct answer is: a. Square matrix.

This problem has been solved

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