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Linear Algebra

Linear Transformation Calculator

Apply rotation, scaling, or reflection transformations to 2D vectors and see the resulting coordinates. Ideal for linear algebra students and graphics programmers exploring how matrices act on vectors.

Fill in the required fields to see your result.
Linear Algebra

2x2 Matrix Determinant Calculator

Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.

Fill in the required fields to see your result.

Key differences

Linear Transformation Calculator2x2 Matrix Determinant Calculator
CategoryLinear AlgebraLinear Algebra
Inputs required54
ResultTransformed Vector XDeterminant
What it doesApply rotation, scaling, or reflection transformations to 2D vectors and see the resulting coordinates. Ideal for linear algebra students and graphics programmers exploring how matrices act on vectors.Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.