Example 9 Using the Dimension Theorem
{"Image DocumentName": "Example 9 Using the Dimension Theorem", "Image ImageDescription": "Let T: R2 \u2192R2 be the linear operator that rotates each vector in the xy-plane through an angle \u03b8 . We showed in Example 5 that ker(T ) = {0} and R (T ) = R2 .Thus, rank (T ) + nullity (T ) = = 2. Which is consistent with the fact thar the domain of T is two-dimensional.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}