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  3. t:r ->r3 t(x, y, z) = (2x + 5y − 3z, 4x +

T:R ->R3 T(x, y, z) = (2x + 5y − 3z, 4x + y −...

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Advance Math

T:R ->R3 T(x, y, z) = (2x + 5y − 3z, 4x + y − 5z, x − 2y − z)(a) Find the matrix representing this transformation with respectto the standard basis. (b) Find the kernel of T, and a basis forit. (c) Find the range of T, and a basis for it.

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