3. A linear transformation from R4 to R³ is given by it's action on the standard basis vectors of R4 via: 1 (a) Write down the matrix representing this linear transformation in this basis. (b) By direct application of the matrix multiplication, find the action of this linear trans- formation on the vector: 2 3 -1 (c) Verify that you get the same vector if you apply the linear transformation on each basis vector, and use linearity of the transformation, in the expansion of the above vector , 1 0 으ㅇ

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