x - y + z 2 + 42 - 3y + z Show that...

  

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x - y + z 2л — у + 42 - 3y + z Show that a mapping T : R³ → R³ defined by T is linear. = • 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 - 3y + z Show that a mapping T : R³ → R³ defined by T is linear. = • 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.