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10 Nov 2019
Please show all steps.
For each of the linear transformations T,Find the nullity of T andgive a basis for Ker(T). which of the transformations are one toone
1)w1 = (0,0,-8,-4), w2 = (-1,13,0,7)
2)w1 = x^2 + 2x + 1,w2 = x - 2
For each of the linear transformations T, find the rank of T andgive a basis for Im(T). which of the transformations T areonto?
1)w1 = (0,0,-8,-4), w2 = (-1,13,0,7)
2)w1 = x^2 + 2x + 1,w2 = x - 2
Determine whether or not the given linear transformation isinvertible. If it is invertible compute its inverse.
1) T:R^2 --> R^2 given by T(x,y) = (3x + 2y, -6x - 4y)
2)T:R^4 --> R^4 given by T(x) = A(X) where
A = [ -1 2 1 0]
[-1 1 0 -1]
[2 -1 0 4]
[1 -2 0 0]
Please show all steps.
For each of the linear transformations T,Find the nullity of T andgive a basis for Ker(T). which of the transformations are one toone
1)w1 = (0,0,-8,-4), w2 = (-1,13,0,7)
2)w1 = x^2 + 2x + 1,w2 = x - 2
For each of the linear transformations T, find the rank of T andgive a basis for Im(T). which of the transformations T areonto?
1)w1 = (0,0,-8,-4), w2 = (-1,13,0,7)
2)w1 = x^2 + 2x + 1,w2 = x - 2
Determine whether or not the given linear transformation isinvertible. If it is invertible compute its inverse.
1) T:R^2 --> R^2 given by T(x,y) = (3x + 2y, -6x - 4y)
2)T:R^4 --> R^4 given by T(x) = A(X) where
A = [ -1 2 1 0]
[-1 1 0 -1]
[2 -1 0 4]
[1 -2 0 0]
Nestor RutherfordLv2
25 May 2019
