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The matrix A = is a matrix of a linear transformation T R^k right a.pdf

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The document describes a linear transformation T from R^4 to R^3 represented by the matrix A. It asks to find the dimensions k and n, which are 4 and 3. It also asks to find the dimension of the kernel and range, which are 1 and 2. Finally, it states that the transformation T is not onto or one-to-one.

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The matrix A = is a matrix of a linear transformation T: R^k right arrow R^n Find k and n. k = ,n = , Find the dimension of the kernel (or null space) and range (or image). dim(Ker(T)) = ,dim(Range(T)) = Is T onto? Is T one - to - one? Solution a) K=4, n=3 b)dim(ker(T))=1; Dim(range(T))=2 c)No, it is not onto; d)No, it is not one-to-one.

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