STEMORIA scientific instrument

Matrix Transformation Explorer

See how a real 2×2 matrix transforms vectors and how the determinant controls area scaling and orientation.

MathematicsEngineeringTechnology

Manipulate

Measure

Interpret

2D interactive

Scientific viewport

Measured model and controls

deterministic interaction

Linked scientific model

Matrix Transformation Explorer

See how a real 2×2 matrix maps a vector and how the determinant encodes signed area scaling.

I2 · equation-driven modelone state · synchronized views

Primary scientific view

Input → output

live model output

Interactive measurement plotMove across the graph to inspect values

inputoutput

y vs x

Probe the curve to read approximate model values at any x-position.

Linear map

y = Ax

det(A) = ad − bc = 1

Data

Output x

2.5

Output y

det(A)

Area scale

1×

Interpretation

Predict before testing

What does det(A) = 0 imply for planar area?

Current orientation: preserved.

STEMORIA scientific instrument

Matrix Transformation Explorer

See how a real 2×2 matrix transforms vectors and how the determinant controls area scaling and orientation.

MathematicsEngineeringTechnology

Manipulate

Measure

Interpret

2D interactive

Scientific viewport

Measured model and controls

deterministic interaction

Linked scientific model

Matrix Transformation Explorer

See how a real 2×2 matrix maps a vector and how the determinant encodes signed area scaling.

I2 · equation-driven modelone state · synchronized views

Primary scientific view

Input → output

live model output

Interactive measurement plotMove across the graph to inspect values

inputoutput

y vs x

Probe the curve to read approximate model values at any x-position.

Linear map

y = Ax

det(A) = ad − bc = 1

Data

Output x

2.5

Output y

det(A)

Area scale

1×

Interpretation

Predict before testing

What does det(A) = 0 imply for planar area?

Current orientation: preserved.