Question

A row matrix has only

• A. One element
• B. One row with one or more columns
• C. One column with one or more rows
• D. One row and one column

Hint:

The name of the matrix classification gives away the defining constraint. A "row" matrix is constrained to exactly 1 row. A "column" matrix is constrained to exactly 1 column. The other dimension is variable.

Answer 1

The Correct Option is B

Step 1: Definition of row matrix
A row matrix is a matrix that has exactly one row.
Step 2: General form
The order of a row matrix is: \[ 1 \times n \text{where } n \geq 1 \]
Step 3: Analyze options

• Option (1): Only one element $\Rightarrow$ too restrictive ($1 \times 1$ only)
• Option (2): One row with one or more columns $\Rightarrow$ correct definition
• Option (3): One column with multiple rows $\Rightarrow$ column matrix
• Option (4): One row and one column $\Rightarrow$ only $1 \times 1$

Step 4: Conclusion
A row matrix has one row and one or more columns. Final Answer:
\[ \boxed{\text{Option (2)}} \]