In linear algebra, a column vector with ⁠ ⁠ elements is an matrix [1] consisting of a single column of ⁠ ⁠ entries. Similarly, a row vector is a matrix, consisting of a single row of ⁠ ⁠ entries. For example, ⁠ ⁠ …

Here we will learn about column vectors, including how to write a column vector and how to draw a diagram of a column vector. There are also vector worksheets based on Edexcel, AQA and …

To multiply a matrix by a vector (which happens very frequently), the dimensions need to match up. It usually makes more sense to use a column vector $\mathbf {x}$ for an expression like …

To say ‘the function f(x) is linear’ is technically wrong since f(x) is a vector, not a function. Similarly we can’t say ‘A is linear’; it is just a matrix.

Nov 24, 2025 · Learn about column vectors for your IGCSE maths exam. This revision note covers the key concepts and worked examples.

A vector can be seen as either a 1 x n matrix in the case of a row vector, or an n x 1 matrix in the case of a column vector. Below, v is a 3 x 1 column vector and w is a 1 x 4 row vector.

When we think of an element in as a vector, we will usually write it vertically: This is called column vector notation. You can also call the notation row vector notation, even though it is the same …