(Linear Algebra)
Consider the vector space
H = Span {1, cos(t), cos2(t), cos3(t), cos4(t), cos5(t), cos6(t)}.
Make a conjecture: what simple function could be used in place
of g(t)= -1 + 18cos2(t) - 48cos4(t) +
32cos6(t) on the interval 
(Use the graph of g(t) to find a much "easier" looking function that could be used in place of g(t)).
Homework Answers
As shown below we will do further calculations for other value
of t 
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(Linear Algebra) Consider the vector space H = Span {1, cos(t), cos2(t), cos3(t), cos4(t), cos5(t...
(Linear Algebra) Consider the vector space H = Span {1, cos(t), cos2(t), cos3(t), cos4(t), cos5(t...
(Linear Algebra) Consider the vector space H = Span {1, cos(t), cos2(t), cos3(t), cos4(t), cos5(t), cos6(t)} Make a conjecture: what simple function could be used in place of f(t) = 1-8cos2(t)+ 8cos4(t) on the interval (use the graph of f(t) to find a much easier looking function that could be used in place of f(t)). 0<t<2π
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