Matrices multiplication

Online calculator for multiplying 4x4 matrices


The calculator on this page multiplies two matrices with 4 x 4 elements. To perform the calculation, enter the data of two matrices to be multiplied. Then click the button 'Calculate'.

Empty fields are counted as zero.

Matrix multiplication calculator

Matrix A Matrix
·
Decimal places
Result
M11   M12   M13   M14
  M21   M22   M23   M24
  M31   M32   M33   M34
  M41   M42   M43   M44

Description of the matrix multiplication


There is a special rule for multiplications of matrices constructed in such a way that that they can represent simultaneous equations using matrices.

  • Two matrices can be multiplied if the number of columns in the left matrix is the same as the number of rows in the right matrix.

  • The product of a matrix is calculated by calculating the product sums of the pairs from the row vectors of the first matrix and the column vectors of the second matrix


Example


The first element of the product \(C \), is the sum of the products of each element of the first row of \(A \), and the corresponding element of the first column of \(B \)


Matrix 3x3 Functions

AdditionSubtractionMultiplicationScalar MultiplicationRotation X axisRotation Y axisRotation Z axisY, P, R Rotation quaternionY, P, R Rotation Euler anglesInvertDeterminant

Matrix 4x4 Functions

AdditionSubtractionMultiplicationScalar MultiplicationRotation X axisRotation Y axisRotation Z axisY, P, R RotationVector RotationInvertDeterminantinterpolation

Quaternion Functions

AdditionSubtractionDivisionMultiplicationConcatenateLengthInterpolationNormalizeScalar MultiplicationDot ProductYaw-Pitch-Roll

More Vector Functions

AdditionSubtractionMultiplicationScalar MultiplicationDivisionScalar DivisionDot Product Cross ProductInterpolationDistanceDistance SquaretNormalizationReflectionMagnitudeSquared-MagnitudeTriple-Product


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