Find the kernel (or nullspace) and the image of each linear map together with their basis....

Find the kernel (or nullspace) and the image of each linear map together with their basis.

(a) T :R4 →R3 given by f(x,y,z,w)=(3x+y−3z+3w , x+y+z+w , 2x+y−z+2w)

(b) T :R3 →R5 given by f(x,y,z)=(2x−y+6z , x−y−z , x+y−5z , z−y , −x+2z)

c) T :R4 →R3 given by f(x,y,z,w)=(x−y−3z+w , 2x−3y+z+2w , 3x+y−4z−w)

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Expert Solution

Colby Messinger answered 3 weeks ago

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