Vector and Matrix are Mathematical quantities used in linear algebra. Vector is a quantity that includes magnitude and direction like velocity, displacement. They are used in three-dimensional problems to make them simplified. Matrix is a rectangular array of numbers used in linear algebra for making linear transformations and linear equations.

Vector vs Matrix

The main difference between Vector and Matrix is that Vector is an array of numbers with a single index, whereas Matrix is a rectangular array of numbers with two indices as row and column. Vector is a way to simplify three-dimensional figures in geometry, whereas Matrix is used in linear algebra for linear transformations.

Vector is a quantity that is represented by a letter with an arrow on top to distinguish it from other mathematical quantities. It represents magnitude and direction. It is an array of numbers called elements in a Vector. They are enclosed in open brackets.

Matrix is denoted by upper case letters in brackets or parentheses. It is a rectangular array of numbers with elements or entries in it. It has a row vector and column vector which forms a matrix. It has two indices indicating row and column. Matrix extends to its higher dimension in linear algebra.

Comparison Table Between Vector and Matrix