Let T R4 R3 be the linear transformation represented by T x Ax where 1 210 A 0 1 2 4 0 001 a Find the dimension of the domain 3

Question

Let T R4 R3 be the linear transformation represented by T x Ax where 1 210 A 0 1 2 4 0 001 a Find the dimension of the domain 3 b Find the dimension of the range c Find the dimension of the kernel d Is 7 one to one Explain OT is one to one since the ker 7 0 OT is one to one since the ker 7 0 OT is not one to one since the rank 7 0 OT is not one to one since the ker 7 0 OT is not one to one since the ker 7 0 e Is T onto Explain OT is onto since the rank 7 is equal to the dimension of the domain OT is not onto since the rank 7 is not equal to the dimension of the domain OT is not onto since the rank 7 is equal to the dimension of the co domain OT is not onto since the rank 7 is not equal to the dimension of the co domain OT is onto since the rank 7 is equal to the dimension of the co domain f Is 7 an isomorphism Explain Select all that apply OT is not an isomorphism since it is not onto OT is not an isomorphism since it is not one to one

Kunduz · Accepted Answer

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