In the plane V defined by the equation x i 2x2 + 2x3 = 0, consider the basisa. Construct

Chapter 4, Problem 62

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In the plane V defined by the equation x i 2x2 + 2x3 = 0, consider the basisa. Construct another basis 33 = (b\, b2) of V, such that neither b\ nor b2 has any zero components. b. Find the change of basis matrix S from 33 to 21. c. Find the change of basis matrix from 91 to 33. d. Write an equation relating the matrices [a\ a2], [b\ b2], and S =

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