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If a matrix has the same number of rows as columns, it is called a? a. Square matrix b. Diagonal matrix c. Rectangular matrix d. Symmetric matrix

Question

If a matrix has the same number of rows as columns, it is called a?

  • a. Square matrix
  • b. Diagonal matrix
  • c. Rectangular matrix
  • d. Symmetric matrix
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Solution

Answer

The correct answer is:

a. Square matrix

Explanation

A square matrix is a type of matrix that has an equal number of rows and columns. For example, a 2x2 or 3x3 matrix is square because the number of rows is equivalent to the number of columns.

In contrast:

  • A diagonal matrix is a square matrix where all the elements outside the main diagonal are zero.
  • A rectangular matrix has a different number of rows and columns.
  • A symmetric matrix is a square matrix that is equal to its transpose, meaning it is symmetric about its main diagonal.

Thus, the defining characteristic for a square matrix is primarily its equal dimensions, which makes option a the correct choice.

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