From 5a9e39003c9f53435c58f1bc87f35d4011106855 Mon Sep 17 00:00:00 2001
From: Ceda EI <ceda_ei@webionite.com>
Date: Wed, 13 May 2020 12:09:12 +0530
Subject: [PATCH] Fix Question 4

---
 maths/assignment-matrices/assign2.tex | 34 +++++++++++++--------------
 1 file changed, 17 insertions(+), 17 deletions(-)

diff --git a/maths/assignment-matrices/assign2.tex b/maths/assignment-matrices/assign2.tex
index d8b030a..1e127b7 100644
--- a/maths/assignment-matrices/assign2.tex
+++ b/maths/assignment-matrices/assign2.tex
@@ -197,31 +197,31 @@ Reduce the matrix \(A =
 To convert it into Echelon form, we apply the following transformations.
 
 \begin{align*}
-	R_1 &\to R_1 + R_2 + R_3 \\
-	R_2 &\to  R_2 - R_3 \\
-	C_2 &\to C_2 + C_4 \\
-	C_4 &\to C_4 + C_3 \\
-	C_4 &\to  C_4 - 2 C_1 \\
-	C_3 &\to C_3 - C_2 \\
-	C_2 &\to C_2 - C_1 \\
-	R_2 &\to \frac{R_2}{2} \\
+	R_1 &\to R_1 + R_2 \\
 	R_1 &\leftrightharpoons R_4 \\
-	C_4 &\leftrightharpoons C_1 \\
-	R_4 &\to R_4 - R_2
+	R_2 &\to R_2 - R_3 \\
+	R_2 &\to \frac{R_2}{2} \\
+	R_3 &\to R_3 + R_4 \\
+	R_2 &\to R_2 - R_1 \\
+	R_3 &\to R_3 - R_1 \\
+	R_3 &\leftrightharpoons R_4 \\
+	R_2 &\leftrightharpoons R_3 \\
+	R_1 &\leftrightharpoons R_2 \\
+	R_1 &\to -R_1
 \end{align*}
 
 We get
 \[
-	\begin{bmatrix}
-		0 & 1 & 0 & 0 \\
-		0 & 0 & 1 & 0 \\
-		0 & 0 & 0 & 1 \\
-		0 & 0 & 0 & 0
-	\end{bmatrix}
+\begin{bmatrix}
+1 & -1 & 0 & 2 \\
+0 & 1 & 1 & -1 \\
+0 & 0 & 0 & 0 \\
+0 & 0 & 0 & 0
+\end{bmatrix}
 \]
 
 \[
-	rank = 3
+	rank = 2
 \]
 
 \section*{Question 5}