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Mathematics, 20.07.2019 01:20 Teephat

Let l: r^rightarrow r^3 be a transformation defined by l[(u_1, u_2, u_3, u_4)^t] = (u_1 + u_2, u_3 + u_4, u_1 + u_3)^t. [7 p] (a) show that l is a linear transformation. [9 b] (b) find a basis for kernel of l, ker(l), and determine its dimension. [9 p] (c) find a basis for image of r^4, l(r^4), and determine its dimension.

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Let l: r^rightarrow r^3 be a transformation defined by l[(u_1, u_2, u_3, u_4)^t] = (u_1 + u_2, u_3...
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