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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

2x2 System of Linear Equations Solver

Solve a system of two linear equations in two unknowns using Cramer's rule or substitution. Ideal for algebra homework, engineering problems, and quick verification of hand calculations.

Equation 1: Coefficient of x

Equation 1: Coefficient of y

Equation 1: Constant

Equation 2: Coefficient of x

Equation 2: Coefficient of y

Equation 2: Constant

Fill in the required fields to see your result.

Key differences

	Linear Transformation Matrix Calculator	2x2 System of Linear Equations Solver
Category	Linear Algebra	Linear Algebra
Inputs required	5	6
Result	Transformed X Component	Solution for x
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.	Solve a system of two linear equations in two unknowns using Cramer's rule or substitution. Ideal for algebra homework, engineering problems, and quick verification of hand calculations.