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College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md

@@ -12,7 +12,7 @@
 	a_{11} & a_{12} & a_{13} & b_{1} \\ a_{21} & a_{22} & a_{23} & b_{2} \\ a_{31} & a_{32} & a_{33} & b_{3} 
 	\end{bmatrix} \end{gathered}$$
 	- Same elementary operations can be used with augmented matrices, now it is with rows instead of equations.
-- gaussian elimination
+- Gaussian Elimination
 	- this is converting a matrix to **echelon form** (or row echelon form)
 		- this is when every leading term is a column to the left of the one below it and any zero rows are at the bottom
 	- once the augmented matrix is in echelon form it can be converted back into a linear system of equations (that is not in echelon form) and solved
@@ -26,5 +26,5 @@
 - Homogeneous linear system
 	- when the $b_{n}$ term of each equation is zero
 	- There is a "trivial solution" where each variable equals zero
-	- There can also be nowingspann-trivial solutions 
+	- There can also be non-trivial solutions 
 -