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Linear maps: Matrices of Linear Maps
Basis transition: Step 1/2
Consider the vector space #P_2# of real polynomials of degree at most #2# with the bases \[\alpha=\basis{1,x,x^2}\phantom{xx}\text{ and }\phantom{xx} \beta=\basis{x-1,x^2-1,x^2+1}\]
Determine the transition matrix of the basis #\alpha# to the basis #\beta#.
Determine the transition matrix of the basis #\alpha# to the basis #\beta#.
\({}_\beta I_\alpha=\) |
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