Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix: -2 -1 -2 2 A = -1 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) 20

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix:
-2
-1
-2
2
A =
-1
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 [, W2, Ws, Wą]:
Enter the vector w' in the form [w , w , wg , w¼]:
Enter the vector z in the form [21, 22, zs, Z4]:
Enter the vector z' in the form [z, , z, , z, z1:
Transcribed Image Text:Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix: -2 -1 -2 2 A = -1 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 [, W2, Ws, Wą]: Enter the vector w' in the form [w , w , wg , w¼]: Enter the vector z in the form [21, 22, zs, Z4]: Enter the vector z' in the form [z, , z, , z, z1:
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