Let B= Since the coordinate mapping determined by B is a linear transformation from R2 into R2, this mapping must be implemented by some 11 2x2 matrix A. Find it. [Hint. Multiplication by A should transform a vector x into its coordinate vector [x]g.] O A =

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 11CM
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Let B=
Since the coordinate mapping determined by B is a linear transformation from R? into R2, this mapping must be implemented by some
- 4
-11
2x2 matrix A. Find it. [Hint: Multiplication by A should transform a vector x into its coordinate vector [x]R.]
A =
Transcribed Image Text:Let B= Since the coordinate mapping determined by B is a linear transformation from R? into R2, this mapping must be implemented by some - 4 -11 2x2 matrix A. Find it. [Hint: Multiplication by A should transform a vector x into its coordinate vector [x]R.] A =
If B is the standard basis of the space P3 of polynomials, then let B = {1,t,t,t). Use coordinate vectors to test the linear independence of the set of polynomials
below. Explain your work.
1- 71 -1, t+ 5t°, 1+t- 7?
Write the coordinate vector for the polynomial 1-7 -.
Transcribed Image Text:If B is the standard basis of the space P3 of polynomials, then let B = {1,t,t,t). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1- 71 -1, t+ 5t°, 1+t- 7? Write the coordinate vector for the polynomial 1-7 -.
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