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 2021-02-25 Answered
The change - of - coordinate matrix from B={[314][205][827]}
to the standard basis in RRn.
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au4gsf
Answered 2021-02-26 Author has 95 answers
The change - of - coordinates matrix from a basis B=b1,b2,...,bn
to the standadr matrix in RRn is given as,
PB=[b1b2,...,bn]
Here, n is the number of vectors in a basis.
There are three vectors in the given basis,
The given basis is cB={[314][205][827]}.
Thus, the change-of-coordinates matrix from B
to the standard basis in RR3 is,
PB=[b1b2b3]
[328102457]
Therefore, the change-of-coordinates matrix is [328102457]
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