Find the dimension of each matrix. Identify any square, column, or row matrices.
$\left[\begin{array}{c}2\\ 4\end{array}\right]$

Verified step by step guidance

1. Identify the number of rows and columns in the given matrix. For a matrix written as 1x2, it means there is 1 row and 2 columns.
2. Write the dimension of the matrix as the number of rows by the number of columns, which is \$1 \times 2$ in this case.
3. Determine if the matrix is a square matrix by checking if the number of rows equals the number of columns. Since 1 is not equal to 2, this matrix is not square.
4. Check if the matrix is a row matrix by seeing if it has exactly one row. Since it has 1 row, it is a row matrix.
5. Check if the matrix is a column matrix by seeing if it has exactly one column. Since it has 2 columns, it is not a column matrix.

Key Concepts

Matrix Dimension

The dimension of a matrix is described by the number of its rows and columns, written as 'rows × columns'. For example, a 1×2 matrix has 1 row and 2 columns. Understanding dimensions helps in identifying the size and structure of the matrix.

Square Matrix

A square matrix has the same number of rows and columns (n×n). This property is important because square matrices have special characteristics, such as the possibility of having a determinant and an inverse, which are not defined for non-square matrices.

Row and Column Matrices

A row matrix has only one row and multiple columns (1×n), while a column matrix has one column and multiple rows (m×1). Recognizing these helps in understanding matrix operations and their applications, such as representing vectors in different orientations.