Question: - y + z 2x y + 4z | is linear. x - 3y + z Show that a mapping T : R3 -

- y + z 2x y + 4z | is linear. x

- y + z 2x y + 4z | is linear. x - 3y + z Show that a mapping T : R3 - R defined by Ty 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 ofT is the output of T-1.

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