diff --git a/Zutil.iml b/Zutil.iml
index a2bde11..5454eb9 100755
--- a/Zutil.iml
+++ b/Zutil.iml
@@ -45,5 +45,15 @@
     <orderEntry type="library" scope="TEST" name="Maven: junit:junit:4.12" level="project" />
     <orderEntry type="library" name="Maven: org.hamcrest:hamcrest-core:1.3" level="project" />
     <orderEntry type="library" name="Maven: com.carrotsearch:junit-benchmarks:0.7.2" level="project" />
+    <orderEntry type="library" name="Maven: commons-fileupload:commons-fileupload:1.2.1" level="project" />
+    <orderEntry type="library" name="Maven: commons-io:commons-io:2.5" level="project" />
+    <orderEntry type="library" name="Maven: dom4j:dom4j:1.6.1" level="project" />
+    <orderEntry type="library" name="Maven: xml-apis:xml-apis:1.0.b2" level="project" />
+    <orderEntry type="library" scope="PROVIDED" name="Maven: javax.servlet:javax.servlet-api:3.1.0" level="project" />
+    <orderEntry type="library" name="Maven: mysql:mysql-connector-java:5.1.36" level="project" />
+    <orderEntry type="library" name="Maven: org.xerial:sqlite-jdbc:3.8.11.2" level="project" />
+    <orderEntry type="library" scope="TEST" name="Maven: junit:junit:4.12" level="project" />
+    <orderEntry type="library" name="Maven: org.hamcrest:hamcrest-core:1.3" level="project" />
+    <orderEntry type="library" name="Maven: com.carrotsearch:junit-benchmarks:0.7.2" level="project" />
   </component>
 </module>
\ No newline at end of file
diff --git a/src/zutil/math/Matrix.java b/src/zutil/math/Matrix.java
index 9ec3e74..6ca6d76 100755
--- a/src/zutil/math/Matrix.java
+++ b/src/zutil/math/Matrix.java
@@ -226,7 +226,7 @@ public class Matrix {
      * Matrix Vector subtraction, each column in the matrix will be subtracted
      * with the vector.
      *
-     * @return a new vector with subtracted elements
+     * @return a new matrix with subtracted elements
      */
     public static double[][] subtract(double[][] matrix, double[] vector){
         vectorPreCheck(matrix, vector);
@@ -247,15 +247,13 @@ public class Matrix {
      *
      * @return a new vector with the result
      */
-    public static double[][] multiply(double[][] matrix, double[] vector){
+    public static double[] multiply(double[][] matrix, double[] vector){
         vectorPreCheck(matrix, vector);
-        double[][] result = new double[matrix.length][1];
+        double[] result = new double[matrix.length];
 
-        for (int y=0; y < result.length; ++y) {
+        for (int y=0; y < matrix.length; ++y) {
             for (int x=0; x<matrix[0].length; ++x) {
-                for (int i=0; i < result[y].length; ++i){
-                    result[y][i] += matrix[y][x] * vector[x];
-                }
+                result[y] += matrix[y][x] * vector[x];
             }
         }
         return result;
@@ -299,7 +297,7 @@ public class Matrix {
     }
     private static void vectorPreCheck(double[][] matrix, double[] vector) {
         if (matrix[0].length != vector.length)
-            throw new IllegalArgumentException("Matrix columns need to have same length as vector length: " +
+            throw new IllegalArgumentException("Matrix columns need to have same length as the vector length: " +
                     "matrix " + matrix.length + "x" + matrix[0].length + ", " +
                     "vector " + vector.length + "x1");
     }
diff --git a/src/zutil/ml/LinearRegression.java b/src/zutil/ml/LinearRegression.java
index d1d22e5..c5c6ff3 100755
--- a/src/zutil/ml/LinearRegression.java
+++ b/src/zutil/ml/LinearRegression.java
@@ -16,12 +16,12 @@ public class LinearRegression {
      *     h(x) = theta0 * x0 + theta1 * x1 + ... + thetan * xn => transpose(theta) * x
      * </i>
      */
-    protected static double[][] calculateHypotesis(double[][] x, double[] theta){
+    protected static double[] calculateHypothesis(double[][] x, double[] theta){
         return Matrix.multiply(x, theta);
     }
 
     /**
-     * Linear Regresion cost method.
+     * Linear Regression cost method.
      * <br /><br />
      * <i>
      *      J(O) = 1 / (2 * m) * Σ { ( h(Xi) - Yi )^2 }
@@ -30,10 +30,11 @@ public class LinearRegression {
      * @return a number indicating the error rate
      */
     protected static double calculateCost(double[][] x, double[] y, double[] theta){
+        double[] hypothesis = calculateHypothesis(x, theta);
+        double[] normalized = Matrix.subtract(hypothesis, y);
+
         return 1.0 / (2.0 * x.length) * Matrix.sum(
-                Matrix.Elemental.pow(
-                        Matrix.subtract(calculateHypotesis(x, theta), y),
-                        2));
+                Matrix.Elemental.pow(normalized,2));
     }
 
     /**
@@ -45,13 +46,14 @@ public class LinearRegression {
      *
      * @return the theta that was found to minimize the cost function
      */
-    public static double[] gradientAscent(double[][] x, double[] y, double[] theta, double alpha){
+    public static double[] gradientDescent(double[][] x, double[] y, double[] theta, double alpha){
         double[] newTheta = new double[theta.length];
         double m = y.length;
-        double[][] hypotesisCache = Matrix.subtract(calculateHypotesis(x, theta), y);
+        double[] hypothesis = calculateHypothesis(x, theta);
+        double[] normalized = Matrix.subtract(hypothesis, y);
 
         for (int j= 0; j < theta.length; j++) {
-            newTheta[j] = theta[j] - alpha * (1.0/m) * Matrix.sum(Matrix.add(hypotesisCache, Matrix.getColumn(x, j)));
+            newTheta[j] = theta[j] - alpha * (1.0/m) * Matrix.sum(Matrix.add(normalized, Matrix.getColumn(x, j)));
         }
 
         return newTheta;
diff --git a/test/zutil/math/MatrixTest.java b/test/zutil/math/MatrixTest.java
index bea2330..a19444a 100755
--- a/test/zutil/math/MatrixTest.java
+++ b/test/zutil/math/MatrixTest.java
@@ -106,8 +106,11 @@ public class MatrixTest {
     @Test
     public void vectorMultiply(){
         assertArrayEquals(
-                new double[][]{{8},{14}},
-                Matrix.multiply(new double[][]{{2,3},{-4,9}}, new double[]{1,2}));
+                new double[]{1.4, 1.9, 2.4, 2.9},
+                Matrix.multiply(
+                        new double[][]{{1, 2, 3}, {1, 3, 4}, {1, 4, 5}, {1, 5, 6}},
+                        new double[]{0.1, 0.2, 0.3}),
+                0.001);
     }
 
     @Test
diff --git a/test/zutil/ml/LinearRegressionTest.java b/test/zutil/ml/LinearRegressionTest.java
index 4ecb21f..c15a8e4 100755
--- a/test/zutil/ml/LinearRegressionTest.java
+++ b/test/zutil/ml/LinearRegressionTest.java
@@ -12,12 +12,12 @@ public class LinearRegressionTest {
 
     @Test
     public void calculateHypotesis() {
-        double[][] hypotesis = LinearRegression.calculateHypotesis(
-                /* x */ new double[][]{{1, 2}, {1, 3}, {1, 4}, {1, 5}},
-                /* theta */ new double[]{0.1, 0.2}
+        double[] hypotesis = LinearRegression.calculateHypothesis(
+                /* x */ new double[][]{{1, 2, 3}, {1, 3, 4}, {1, 4, 5}, {1, 5, 6}},
+                /* theta */ new double[]{0.1, 0.2, 0.3}
         );
 
-        assertArrayEquals(new double[][]{{0.5}, {0.7}, {0.9}, {1.1}}, hypotesis);
+        assertArrayEquals(new double[]{1.4, 1.9, 2.4, 2.9}, hypotesis, 0.001);
     }
 
     @Test
@@ -33,7 +33,7 @@ public class LinearRegressionTest {
 
     @Test
     public void gradientAscent() {
-        double[] theta = LinearRegression.gradientAscent(
+        double[] theta = LinearRegression.gradientDescent( // one iteration
                 /* x */ new double[][]{{1, 5},{1, 2},{1, 4},{1, 5}},
                 /* y */ new double[]{1, 6, 4, 2},
                 /* theta */ new double[]{0, 0},
diff --git a/test/zutil/test/ZutilAssert.java b/test/zutil/test/ZutilAssert.java
new file mode 100644
index 0000000..0cec6ac
--- /dev/null
+++ b/test/zutil/test/ZutilAssert.java
@@ -0,0 +1,47 @@
+package zutil.test;
+
+import org.junit.Assert;
+import org.junit.internal.ArrayComparisonFailure;
+import org.junit.internal.InexactComparisonCriteria;
+
+/**
+ * Some additional assert functions that are missing from JUnit
+ */
+public class ZutilAssert extends Assert {
+
+    private ZutilAssert() {}
+
+    /**
+     * Asserts that two short arrays are equal. If they are not, an
+     * {@link AssertionError} is thrown.
+     *
+     * @param   expected   double array with expected values.
+     * @param   actual     double array with actual values
+     */
+    public static void assertArrayEquals(double[][] expected, double[][] actual, double delta) {
+        ZutilAssert.assertArrayEquals(null, expected, actual, delta);
+    }
+
+    /**
+     * Asserts that two int arrays are equal. If they are not, an
+     * {@link AssertionError} is thrown with the given message.
+     *
+     * @param   message   the identifying message for the {@link AssertionError} (<code>null</code>
+     * okay)
+     * @param   expected  double array with expected values.
+     * @param   actual    double array with actual values
+     */
+    public static void assertArrayEquals(String message, double[][] expected,
+                                         double[][] actual, double delta) throws ArrayComparisonFailure {
+        // If both arrays are referencing the same object or null
+        if (expected == actual)
+            return;
+
+        // Check array lengths
+        if (expected.length != actual.length)
+            fail(message + ". The array lengths of the first dimensions do not match.");
+
+        // Check all sub arrays
+        new InexactComparisonCriteria(delta).arrayEquals(message, expected, actual);
+    }
+}