diff --git a/CHANGELOG.markdown b/CHANGELOG.markdown
--- a/CHANGELOG.markdown
+++ b/CHANGELOG.markdown
@@ -1,3 +1,7 @@
+1.15.1
+------
+* Added `inversePerspective`. It is much more accurate to compute it directly than to compute an inverse.
+
 1.15.0.1
 --------
 * Fixed build failures caused by `Linear` re-exporting the old name.
diff --git a/linear.cabal b/linear.cabal
--- a/linear.cabal
+++ b/linear.cabal
@@ -1,6 +1,6 @@
 name:          linear
 category:      Math, Algebra
-version:       1.15.0.1
+version:       1.15.1
 license:       BSD3
 cabal-version: >= 1.8
 license-file:  LICENSE
diff --git a/src/Linear/Projection.hs b/src/Linear/Projection.hs
--- a/src/Linear/Projection.hs
+++ b/src/Linear/Projection.hs
@@ -13,6 +13,7 @@
 module Linear.Projection
   ( lookAt
   , perspective
+  , inversePerspective
   , infinitePerspective
   , ortho
   ) where
@@ -62,6 +63,25 @@
         z = -(far + near) / (far - near)
         w = -(2 * far * near) / (far - near)
 
+-- | Build an inverse perspective matrix
+inversePerspective
+  :: Floating a
+  => a -- ^ FOV
+  -> a -- ^ Aspect ratio
+  -> a -- ^ Near plane
+  -> a -- ^ Far plane
+  -> M44 a
+inversePerspective fovy aspect near far =
+  V4 (V4 a 0 0 0   )
+     (V4 0 b 0 0   )
+     (V4 0 0 0 (-1))
+     (V4 0 0 c d   )
+  where tanHalfFovy = tan $ fovy / 2
+        a = aspect * tanHalfFovy
+        b = tanHalfFovy
+        c = -(far - near) / (2 * far * near)
+        d = (far + near) / (2 * far * near)
+ 
 -- | Build a matrix for a symmetric perspective-view frustum with a far plane at infinite
 infinitePerspective
   :: Floating a