Solution-Find the basis and the dimension of range and

Find the basis and the dimension of range and kernel of t

Assignment Help Algebra

Reference no: EM131025967

Question (1):

Let T: R3 R3 be a linear transformation defined by

T(x, y, z) = (x + 2y - z, y + z, x + y - 2z )

Find a basis and the dimension of ( i ) Range of T ( ii) the Kernel of T

Question (2) :

If T:R4 R3 is a linear transformation defined by

T( a, b, c, d) = ( a - b + c + d, a + 2c - d, a + b + 3c - 3d) for a, b, c, d R, then find a basis for Ker T ( i.e. Null Space of T) and Range of T.

Reference no: EM131025967

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Find the basis and the dimension of range and kernel of t

Reference no: EM131025967

Reference no: EM131025967

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