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

To solve the given question, we need to understand what a row matrix is in the context of matrices in mathematics.

A matrix is a rectangular array of numbers arranged in rows and columns. The concept of a row matrix is specific and easy to define:

• A row matrix is a matrix consisting of a single row. It can have multiple columns, but only one row.

Let's evaluate the options based on the above definition:

1. One element: This option does not fit because a row matrix may contain multiple elements, as long as they are all in one row.
2. One row with one or more columns: This is the correct definition of a row matrix, as it specifies a single row with possibly several columns.
3. One column with one or more rows: This defines a column matrix, not a row matrix. A column matrix has multiple rows but one column.
4. One row and one column: This describes a 1x1 matrix, also known as a scalar matrix, which is technically a special case but doesn't encompass the general form of a row matrix.

Thus, the correct answer is: One row with one or more columns.