Unformatted text preview: ◆ be a basis of R 2 . What is the matrix of G wrt the basis A ? • We Fnd the transition matrix from the A coordinates to the E coordinates. Note that we have f 1 = ✓ 1 ◆ A ! ✓ 3 2 ◆ E , f 2 = ✓ 1 ◆ A = ✓ 4 3 ◆ E . This says that the transition matrix from the basis A to the basis E is 1 E A = ✓ 3 4 2 3 ◆ . • ±rom this we conclude that the transition matrix from the basis E to the basis A is 1 A E = (1 E A )1 = ✓ 342 3 ◆ . • The matrix for the linear map G in terms of the basis A is 1 A E · g E E · 1 E A . 5...
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 Fall '08
 MARKMAN
 Linear Algebra, Algebra, Derivative, basis, Linear map, Linear function

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