() x - y + z 2 - + 42 Show that...

 

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() x - y + z 2л - у + 42 х — Зу Show that a mapping T: R3 → R³ defined by T y is linear. 3y + z • Is is one-to-one transformation? • Does the inverse i.e., T-1 exist? If so find it Verify that (by using a coordinate from R') the input of T is the output of T-1. () x - y + z 2л - у + 42 х — Зу Show that a mapping T: R3 → R³ defined by T y is linear. 3y + z • Is is one-to-one transformation? • Does the inverse i.e., T-1 exist? If so find it Verify that (by using a coordinate from R') the input of T is the output of T-1.