column matrix
a matrix that has only one column
A column matrix is a type of matrix that has only one column, hence why it is also known as a vector. It is written in the form of a vertical column with elements separated by rows. For example, a column matrix with three elements a, b, and c, would be written as:
| a |
| b |
| c |
Column matrices are commonly used in linear algebra to represent systems of equations, vectors, and transformations. They can be added and subtracted in the same way as matrices, as long as they have the same dimensions (i.e., the same number of rows). Scalar multiplication can also be performed on a column matrix to multiply each element by a constant.
Column matrices can also be multiplied by other matrices, but the number of rows in the original column matrix must match the number of columns in the matrix being multiplied. The resulting output will be a new column matrix with the number of rows equal to the number of rows in the original column matrix and the number of columns equal to the number of columns in the matrix being multiplied.
Overall, column matrices are a useful tool in linear algebra, especially when dealing with vectors and systems of equations.
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