W={(x,y,z,f)ER*: Ez=x+y+f} 04. Let T: R3 R3 be the linear transformation given by T(xy,z)=D(x+y,x-2,x+y+2=) for all...

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W={(x,y,z,f)ER*: Ez=x+y+f} 04. Let T: R3 R3 be the linear transformation given by T(xy,z)=D(x+y,x-2,x+y+2=) for all (x.v. z) e R. Determine whether T is invertible or not. If T is invertible, find the inverse of T and compute the inverse image of (1, 0, 1) under T. [7] Q.5 Calculate iterations of the power method with scaling to approximate a dominant eigenvalue and eigenvector of the matrix up to four significant digits 1 A = 1 1 0. * 0 10l using Xo 1 as the initial approximation. [7] ******* ******** W={(x,y,z,f)ER*: Ez=x+y+f} 04. Let T: R3 R3 be the linear transformation given by T(xy,z)=D(x+y,x-2,x+y+2=) for all (x.v. z) e R. Determine whether T is invertible or not. If T is invertible, find the inverse of T and compute the inverse image of (1, 0, 1) under T. [7] Q.5 Calculate iterations of the power method with scaling to approximate a dominant eigenvalue and eigenvector of the matrix up to four significant digits 1 A = 1 1 0. * 0 10l using Xo 1 as the initial approximation. [7] ******* ********

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