Let us define a linear transformation T:R^2 → R^2 by T(x) = bmatrix0 & 1\\ 1 & 0 bmatrix bmatrixx 1\\ x 2 bmatrix = bmatrix x 2\\ x 1 bmatrix . Find the image under T of u = bmatrix4\\ 1 bmatrix , v…

Let us define a linear transformation T:R^2 → R^2by T(x) = $[01 - 1 0] [x_{1} x_{2}]$ = $[- x_{2} x_{1}]$ . Find the image under T of $u = [41]$ , $v = [23]$ and u + v = $[64]$

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