The change - of - coordinate matrix from mathscr{B} = left{begin{bmatrix}3-14end{bmatrix}begin{bmatrix}20 -5 end{bmatrix}begin{bmatrix}8-27 end{bmatrix}right}
to the standard basis in RR^{n}.
Emily-Jane Bray 2021-02-25Answered
The change - of - coordinate matrix from
to the standard basis in
The change - of - coordinates matrix from a basis
to the standadr matrix in is given as,
Here, n is the number of vectors in a basis.
There are three vectors in the given basis,
The given basis is c.
Thus, the change-of-coordinates matrix from
to the standard basis in is,
Therefore, the change-of-coordinates matrix is