Must return a column vector error when using "ode45" (2024)

FAQs

What is error using ode arguments must return a column vector? ›

Accepted Answer

Most commonly this error occurs when the ODE function returns a row vector rather than a column vector. If that's the case preallocate the output using zeros before filling in the elements of it or take the nonconjugate transpose of the output or reshape it or use the A(:) syntax to columnize it.

In general, the transpose of a matrix is a new matrix in which the rows and columns are interchanged. For vectors, transposing a row vector results in a column vector, and transposing a column vector results in a row vector.

This error means that you have not provided enough input arguments to the function. You need to provide more information to the function in order to run it properly.

A column vector is simply a vector whose components are listed vertically in a single column. Doing math with column vectors is very similar to doing basic algebra. From a vector on a three-dimensional grid, the top value of the column vector is the x-component.

One way to create a column vector is to explicitly put the values in square brackets, separated by semicolons (rather than commas or spaces): >> c = [1; 2; 3; 4] c = 1.

A linear combination of vectors a1 and a2 includes two steps : (1) Multiply a1 and a2 by “scalars” x1 and x2 (2) Add vectors x1a1 + x2a2. Thus Ax is a linear combination of the columns of A. This is fundamental.

To create an array with multiple elements in a single row, separate the elements with either a comma ',' or a space. This type of array is called a row vector. To create an array with multiple elements in a single column, separate the elements with semicolons ';'. This type of array is called a column vector.

You can convert a row vector into a column vector (and vice versa) using the transpose operator ' (an apostrophe). Try the following MATLAB commands: [1 3 5] is a row vector, but the ' converts it into a column vector before the result is stored in the variable x.

A column vector is an nx1 matrix because it always has 1 column and some number of rows. A row vector is a 1xn matrix, as it has 1 row and some number of columns. This is the major difference between a column and a row vector.

Can you add a column vector and a row vector? ›

With the conventions usually in place, a 1×n 1 × n row vector is a linear functional φ:Fn→F φ : F n → F and as such, φ is belongs to the dual space of Fn . A vector and a linear functional on the vector space can't be added algebraically or geometrically because they belong to different vector spaces.

Vector vs.

The transpose operation means converting row to columns and vice-versa. A vector has no row or column representation, it's only a list of values.

In other words, to normalize a vector, simply divide each component by its magnitude. This is pretty intuitive.

Translations are described by column vectors: . Top number is horizontal movement: if +ve to the right if —ve to the left. Bottom number is vertical movement: if +ve up if —ve down.

A vector can be described using i,j notation. A unit vector is a vector of length 1, in Cartesian co-ordinates the unit vectors along the axis are denoted by i and j respectively. Any two-dimensional vector can be written in the form ai+bj a i + b j .