Initialize Core
The inverse A⁻¹ satisfies A × A⁻¹ = I.
Build the Identity matrix I.
Tap to set
Security Check
An inverse only exists if the Determinant (ad - bc) is NOT zero.
{{mat.m[0]}}{{mat.m[1]}}
{{mat.m[2]}}{{mat.m[3]}}
Has Inverse (Det ≠ 0)
[{{mat.m[0]}} {{mat.m[1]}}]
[{{mat.m[2]}} {{mat.m[3]}}]
[{{mat.m[2]}} {{mat.m[3]}}]
No Inverse (Det = 0)
[{{mat.m[0]}} {{mat.m[1]}}]
[{{mat.m[2]}} {{mat.m[3]}}]
[{{mat.m[2]}} {{mat.m[3]}}]
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Construct Decrypter
Build the inverse of A. Swap a, d and negate b, c.
Determinant = 1.
A =
43
11
A⁻¹ =
{{ slot.filled ? slot.val : '?' }}
{{ chip.val }}
Sequence Complete
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Decrypt Coordinates
Solve AX = B using X = A⁻¹B.
Find the intersection point.
x
y
=
1-3
-14
103
x = (1 × 10) + (-3 × 3)
x =
{{ s4UserX }}
y = (-1 × 10) + (4 × 3)
y =
{{ s4UserY }}
Adjust to solve
Coordinates Verified
System Overridden
You mastered identity matrices, determinants, inverse structures, and solving linear systems.