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Both calculators run independently — change the inputs on either side to compare results.

Linear Transformation Matrix Calculator

Apply 2D linear transformations — rotation, scaling, reflection, and shearing — to any input vector. Ideal for computer graphics, robotics, and linear algebra coursework.

Transformation Type

Angle (degrees) (°)

X-axis Scale Factor

Input Vector X

Input Vector Y

Fill in the required fields to see your result.

Linear Algebra

Vector Projection Calculator

Compute the vector projection of u onto v in 2D or 3D space, returning each component of the projected vector. Useful in physics, computer graphics, and linear algebra when decomposing forces or vectors along a given direction.

Vector u - X Component

Vector u - Y Component

Vector u - Z Component

Vector v - X Component

Vector v - Y Component

Vector v - Z Component

Projection Component

Fill in the required fields to see your result.

Key differences

	Linear Transformation Matrix Calculator	Vector Projection Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	5	7
Result	Transformed X Component	Vector Projection
What it does	Apply 2D linear transformations — rotation, scaling, reflection, and shearing — to any input vector. Ideal for computer graphics, robotics, and linear algebra coursework.	Compute the vector projection of u onto v in 2D or 3D space, returning each component of the projected vector. Useful in physics, computer graphics, and linear algebra when decomposing forces or vectors along a given direction.