vault backup: 2026-10-02 08:49:33

College/AU 26/MATH 208 (Matrix Algebra)/Class 10-2.md

@@ -1,13 +1,24 @@
 #uw/notes #uw/class/math208
 - - -
-1 point
+- Possible intersections of 3 planes in 3D space
-$z=0$
+	- 1 point - one solution
-$x=0$
+		- $z=0$
-$y=0$
+		- $x=0$
-
+		- $y=0$
-1 line
+	- 1 line - infinite solutions
-$z=0$
+		- $z=0$
-$x=0$
+		- $x=0$
-$x=z$
+		- $x=z$
-
+	- 3 lines - no solutions
-3 lines
+		- $z=0$
+		  $z=x+1$
+		- $z=1-x$
+	- one plane - infinite solutions
+		- $z=0$
+		- $2z=0$
+		- $3z=0$
+	- no intersections - no solutions
+		- $z=0$
+		- $z=1$
+		- $z=2$
+-