Matrix Z-Rotation
Online computer calculates the rotation of a 4x4 matrix around the Z axis
The calculator on this page calculates the rotation of a matrix with 4 x 4 elements. To perform the calculation, enter the value of the angle. Then click the button 'Calculate'.
You can choose between active matrix rotation (rotating object) and passive matrix rotation (rotating coordinates).
For passive matrix rotation, the vector of a center for the rotation can optionally be specified
The unit of measurement for the angle can be switched between degrees or radians
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Description of the matrix Z axis rotation
The matrix rotation distinguishes between active and passive rotation.
Active Rotation
With active rotation, the vector or the object is rotated in the coordinate system. The active rotation is also called a geometric transformation. The rotation is counterclockwise.
Example of a 90 ° rotation of the Z-axis
Passive rotation
With passive rotation, the coordinate system is rotated. The vector remains unchanged. The rotation is clockwise.
Example of a 90 ° rotation of the Z-axis
Matrix 3x3 Functions
Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation quaternion • Y, P, R Rotation Euler angles • Invert • DeterminantMatrix 4x4 Functions
Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation • Vector Rotation • Invert • Determinant • interpolation
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