Question

4. We know the transformation matrix in the standard basis. $T = \begin{bmatrix} -3 & 1 \\ 2 & 0 \end{bmatrix}$ a.) Write up the elementary matrices which turn $T$ into its RREF! b.) In part a.) you have done GJ elimination in matrix form. Write up the GJ process as a matrix equation containing $T$, $I$ and the elementary matrices! Keep in mind that matrix multiplication is not a commutative operation. Find the inverse of $T$ expressed by elementary matrices! Calculate that inverse from these elementary matrices! c.) Compute the transformation matrix in basis $B = (b_1 = \begin{bmatrix} 1 \\ 4 \end{bmatrix}, b_2 = \begin{bmatrix} 0 \\ 1 \end{bmatrix})$

          4. We know the transformation matrix in the standard basis. $T = \begin{bmatrix} -3 & 1 \\ 2 & 0 \end{bmatrix}$ 
a.) Write up the elementary matrices which turn $T$ into its RREF!
b.) In part a.) you have done GJ elimination in matrix form. Write up the GJ process as a matrix equation containing $T$, $I$ and the elementary matrices! Keep in mind that matrix multiplication is not a commutative operation. Find the inverse of $T$ expressed by elementary matrices! Calculate that inverse from these elementary matrices!
c.) Compute the transformation matrix in basis $B = (b_1 = \begin{bmatrix} 1 \\ 4 \end{bmatrix}, b_2 = \begin{bmatrix} 0 \\ 1 \end{bmatrix})$

4. We know the transformation matrix in the standard basis. T =
< b m a t r i x >
a.) Write up the elementary matrices which turn T into its RREF!
b.) In part a.) you have done GJ elimination in matrix form. Write up the GJ process as a matrix equation containing T, I and the elementary matrices! Keep in mind that matrix multiplication is not a commutative operation. Find the inverse of T expressed by elementary matrices! Calculate that inverse from these elementary matrices!
c.) Compute the transformation matrix in basis B = (b1 =
< b m a t r i x >
, b2 =
< b m a t r i x >
)

Added by Michael B.

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