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Q28Section II (Mathematics)28 of 190

Reading a linear map's matrix off its coordinate formulas

If T:R3→R2T:\mathbb{R}^3\to\mathbb{R}^2 is given by T(x,y,z)=(x+z,y−z)T(x,y,z)=(x+z, y-z), then the matrix representation of T with respect to standard bases of R3\mathbb{R}^3 and R2\mathbb{R}^2 is:

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