Let T: R³ R³ be the linear transformation defined by 1. Find the kernel of T where: a = B={ 2. Find a basis for N(T), the kernel of T B2={ 1 where: a = X-Z 3. What is the nullity of T? 1 y +z B={ 0 5. Find the range of T 4. Find an orthonormal basis N(T), the kernel of T b= -1 B={ 7. What is the rank of T? } b= } C= 6. Find a basis for the range of T (Use integer components). 6. Find an orthonormal basis for the range of T. c= 1 ETEI d=1 18 } } T(ED) - {1] N(T) = R(T) = -(0)₁ [6x - 4y - 10z] x-z -2x+y+3z_ : ax + bz = 0; cy+dz = 0 y2 ayı + by2 + cy3 = 0

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