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In Exercises $27-30$ , use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.$$1-2 t^{2}-t^{3}, t+2 t^{3}, 1+t-2 t^{2}$$

$1-2 t^{2}-t^{3}, t+2 t^{3}, 1+t-2 t^{2}$ are linearly independent.

Calculus 3

Chapter 4

Vector Spaces

Section 4

Coordinate Systems

Vectors

Johns Hopkins University

Harvey Mudd College

University of Nottingham

Idaho State University

Lectures

02:56

In mathematics, a vector (…

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In Exercises $27-30$ , use…

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In Exercises 33 and $34,$ …

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In Exercises $17-20,$ show…

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Show that the given vector…

08:17

Show that the three soluti…

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In Exercises 33 and $34, T…

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in this problem, we're given a set of point no meals. They were asked to determine whether these are the nearly independent or not. So let's rename our polling Ulises people on P two and he three. And let's look at the corner of directors for each aluminum so that people would be We're being 10 negative to one. So this is the collection talk T zero power first Poverty, second poverty and power Bi. So Anandhi Corning, back to before p two would look like zero 102 and according vector for P. D. With the play 11 name, too. And zero Um, this should be the second. Okay, so let's write the augmented majors for my desk. Orton back there. So listen by electric, eh? Trade will be People want you to pee pee so that this 10 negative negative. 10102 and 11 day to zero. And let's look at the register or echo or all our men takes a and that is 100001000010 Now, as you can see, we have one favorite element here Want people element here. So basically, we have a favorite element for each hole. It means that, uh, this bull no meals. Are we nearly independent? Why? Three columns, three event fellows.

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