Compute basis of the range and basis of null space


Consider T : R3 rightarrow R3 be linear transformation provided by; T(x1, x2. x3) = (x1 4- x2 + 2x3, 2x1 + x2 + 3x3, xi + x2 -f 2x3) Give matrix ^4 of T relative to standard basis of R3. Determine basis of null space of N(T). Compute basis of the range of R{T)?

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Mathematics: Compute basis of the range and basis of null space
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