Let T: R² R² be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps v = (1, 3) into (-1,3). Use properties of a linear transformation to calculate T(-3u) = ( T(-3u +9v) =( " 9 " 10 7 ), T(9v) = ( )

Here are some transformation rules. For each rule, describe whether the transformation is a rigid motion, a dilation, or neither. а. (х, у) — (2х, у+2) b. (х, у) — (2х, 2у) c. (x, y) → (x + 2, y + 2) d. (x, у) — (х — 2, у) Match the rule on the left with its correct description on the right.

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Let L be a linear transformation on R2 such that L([1,1]) = ([-2,1]) and L([-1,1]) = [7,-1]. then what's the vector L([7,-1])   sorry to but the numbers in the brackets are in columns, I don't know how to write it thats why.