Sketching an Image of a Rectangle In Exercises 31-38, sketch the image of the rectangle with vertices at
T is the shear represented by
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Elementary Linear Algebra (MindTap Course List)
- Sketching an Image of a Rectangle In Exercises 31-38, sketch the image of the rectangle with vertices at (0,0), (1,0), (1,2)and (0,2)under the specified transformation. T is the shear represented by T(x,y)=(x+y,y).arrow_forwardFinding 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)arrow_forwardFinding 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)arrow_forward
- Linear TransformationsIn Exercises 9-22, determine whether the function is a linear transformation. T:33, T(x,y,z)=(x+1,y+1,z+1)arrow_forwardLinear TransformationsIn Exercises 9-22, determine whether the function is a linear transformation. T:33, T(x,y,z)=(x+y,xy,z)arrow_forwardFinding the Image of a Vector In Exercises 7-10, use the standard matrix for the linear transformation T to find the image of the vector v. T(x,y,z)=(2x+y,3yz), v=(0,1,1)arrow_forward
- Finding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:P2R, T(a0+a1x+a2x2)=a0arrow_forwardFinding the Inverse of a Linear Transformation In Exercise 49-52, determine whether the linear transformation is invertible. If it is, find its inverse. T:R3R2, T(x,y,z)=(x+y,yz)arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning