Let T: R3 R³ be given by [1 0 1 T(x) = 1 1 2 x 0 1 1 and (1, 2, 3) be the standard basis for R³. Let = Find a matrix A Є R³×³ so that B = (T(ē1), T(ē2), ē2) 23 [T(x)] = A[x]e.

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Let T : R³ → R³ be given by
and € =
[101]
T(x)
= 1 1 2 x
01 1
(1, 2, 3) be the standard basis for R³. Let
Find a matrix A € R³×³ so that
B = (T(1), T(ē2), ē2)
23
[T(x)] = A[x].
Transcribed Image Text:Let T : R³ → R³ be given by and € = [101] T(x) = 1 1 2 x 01 1 (1, 2, 3) be the standard basis for R³. Let Find a matrix A € R³×³ so that B = (T(1), T(ē2), ē2) 23 [T(x)] = A[x].
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