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
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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