A matrix with only one column is known as a:a.Square matrixb.Column matrixc.Row matrixd.Diagonal matrix
Question
A matrix with only one column is known as a:
- a. Square matrix
- b. Column matrix
- c. Row matrix
- d. Diagonal matrix
Solution
Break Down the Problem
- Identify the types of matrices based on their structure.
- Understand the definitions of each option provided.
Relevant Concepts
- Column Matrix: A matrix that consists of a single column and multiple rows.
- Row Matrix: A matrix that consists of a single row and multiple columns.
- Square Matrix: A matrix that has the same number of rows and columns.
- Diagonal Matrix: A square matrix in which all elements outside the main diagonal are zero.
Analysis and Detail
-
The question is specifically asking for a matrix that has only one column. Thus, options are evaluated:
a. Square Matrix: Incorrect, as it requires equal rows and columns.
b. Column Matrix: Correct, as it specifically refers to a matrix with one column.
c. Row Matrix: Incorrect, as it refers to a matrix with one row.
d. Diagonal Matrix: Incorrect, since it is a specific type of square matrix.
Verify and Summarize
The correct identification based on the type of matrices indicates that the only option that fits the description of having one column is a column matrix.
Final Answer
b. Column matrix
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