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
Solution
Break Down the Problem
- Identify the type of matrix being described.
- 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.
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