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- Finding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:R4R4, T(x,y,z,w)=(y,x,w,z)Finding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:R3R3, T(x,y,z)=(z,y,x)Finding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:R3R3, T(x,y,z)=(0,0,0)
- The Standard Matrix for a Linear TransformationIn Exercises 1-6, find the standard matrix for the linear transformation T. T(x,y,z)=(3x2z,2yz)Finding the Kernel, Nullity, Range, and Rank In Exercises 19-32, define the linear transformation T by T(x)=Ax. Find a ker(T), b nullity(T), c range(T)and d rank(T). A=[132313231323132313]The Standard Matrix for a Linear TransformationIn Exercises 1-6, find the standard matrix for the linear transformation T. T(x,y,z)=(x+y,xy,zx)
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