math

Matrix

A rectangular array of numbers arranged in rows and columns, used in linear algebra, computer graphics, and data science.

A matrix is a grid of numbers. A matrix with m rows and n columns is called an m×n matrix. Matrices are fundamental to linear algebra, machine learning, and 3D graphics.

Key Operations

  • Addition: Add corresponding elements (matrices must be same size)
  • Multiplication: Row×column dot products (columns of A must equal rows of B)
  • Determinant: Scalar value that indicates invertibility (det ≠ 0 means invertible)
  • Transpose: Swap rows and columns (A^T)

2×2 Determinant

For matrix [[a,b],[c,d]]: det = ad − bc

Related Calculators

📊 Matrix Calculator

Related Terms

Percentage

A number expressed as a fraction of 100, used to describe proportions and rates of change.

Standard Deviation

A measure of the spread or dispersion of a data set from its mean (average).

Mean, Median, and Mode

Three measures of central tendency used to describe the center of a data set.

Pythagorean Theorem

A fundamental relation in geometry: the square of the hypotenuse equals the sum of squares of the other two sides.

Area and Perimeter

Area measures the surface inside a shape (in square units); perimeter measures the distance around it.

Fractions

A number representing a part of a whole, written as a numerator over a denominator.