Is a matrix corresponding to a transformation from a

This preview shows page 5 - 8 out of 8 pages.

is a matrix corresponding to a transformation from a vector x1to x2, both ofwhich have n2components.
111
8.1/1 points | Previous AnswersHoltLinAlg1 6.3.041.Determine if the statement is true or false, and justify your answer.If Uis a change of basis matrix between bases and of Rn, then Umust be invertible.
111
Whas
1.
10
Whas
W.
,
.
9.1/1 points | Previous AnswersHoltLinAlg1 6.3.043.Determine if the statement is true or false, and justify your answer.Let and be two bases of R2, and suppose that and Then the change of basis matrix from to 1= {u1, u2}2= {v1, v2}u1= av1+ bu2= cv1+ dv2is Solution or ExplanationFalse. The correct change of basis matrix is To see why, note that if then wealso have Thereforev2.12.abcdTrue. This is a theorem. True. This is the definition of the change of basis matrix.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture