Chapter 4: Q26E (page 191)
In the vector space for all real-valued functions, find a basis for the subspace spanned by
Chapter 4: Q26E (page 191)
In the vector space for all real-valued functions, find a basis for the subspace spanned by
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Get started for freeA scientist solves a nonhomogeneous system of ten linear equations in twelve unknowns and finds that three of the unknowns are free variables. Can the scientist be certain that, if the right sides of the equations are changed, the new nonhomogeneous system will have a solution? Discuss.
(M) Show that
Equation (5) must hold for all real t, so choose several specific values of t (say,
(M) Determine whether w is in the column space of
In Exercises 27-30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.
Given
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