Skip to main content Homework due Feb 26, 2025 00:00 EST Completed 5.7. Repeated values of a linear transformation 0/12 points (graded) Let T:R4→R3 be a linear transformation given by T(v)=Av where A is the following matrix: a=[[1,0,-1,-1],[1,1,-1,1],[2,1,-2,0]]

Find vectors w, w′, z, z′ which satisfy the following conditions:

w≠w′ but T(w)=T(w′) z≠z′ but T(z)=T(z′) T(w)≠T(z)

Enter the vector w in the form [w1,w2,w3,w4]:

[1,0,0,0] incorrect ⎡⎣⎢⎢⎢⎢1000⎤⎦⎥⎥⎥⎥ Enter the vector w′ in the form [w′1,w′2,w′3,w′4]:

[2,-2,1,0] incorrect ⎡⎣⎢⎢⎢⎢2−210⎤⎦⎥⎥⎥⎥ Enter the vector z in the form [z1,z2,z3,z4]:

[0,1,0,0] incorrect ⎡⎣⎢⎢⎢⎢0100⎤⎦⎥⎥⎥⎥ Enter the vector z′ in the form [z′1,z′2,z′3,z′4]:

[1,1,0,1] incorrect ⎡⎣⎢⎢⎢⎢1101⎤⎦⎥⎥⎥⎥

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