1. ozo296,662
2. aburr224,290
3. d-glitch117,939
4. thehagman110,145
5. Interactive...60,450
6. NovaDeni...55,402
7. Infinity0852,428
8. WaterStreet43,415
9. yuk9925,300
10. Gwynfor...23,280
11. BigRat18,912
12. matthews...15,204
13. RobinD14,866
14. Obly13,800
15. wizzardo...13,000
16. tliotta12,992
17. nickg512,510
18. sdstuber12,496
19. richdiesal12,032
20. t0t09,824
21. uucknaaa9,164
22. harfang8,800
23. whatisittel...8,300
24. MidnightOne7,744
25. JoseParrot7,560

1. ozo1,872,108
2. aburr588,421
3. d-glitch507,534
4. Infinity08460,053
5. Gwynfor...321,904
6. NovaDeni...287,616
7. grg99196,577
8. mgh_mgh...161,482
9. Interactive...154,815
10. thehagman126,595
11. neopolitan113,204
12. JR2003102,830
13. BigRat87,427
14. sunnycoder83,470
15. WaterStreet77,713
16. Arthur_...69,774
17. snoyes_jw69,626
18. harfang66,844
19. PointyEars56,706
20. RobinD50,012
21. wytcom49,614
22. deighton45,182
23. SunBow40,795
24. Talmash37,765
25. rjkimble36,065

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4.6

linear algebra

Asked by lj8866 in Math & Science

Tags: linear, algebra, ax, combination

I have two questions, but what would help more is if someone explained the concepts behind the problems.

y1 = [1,1,1]T
y2 = [1,1,0]T
y3 = [1,0,0]T

and I is the identity operator on R^3

Find coordinates of I(e1), I(e2), I(e3) with respect to [y1,y2,y3]

and find a matrix A such that Ax is the coordinate vector of x with respect to [y1,y2,y3].

If L(c1y1 + c2y2 + c3y3) = (c1 + c2 + c3)y1 + (2c1 + c3)y2 - (2c2 + c3)y3 find a matrix representing L with respect to basis [y1,y2,y3]

and write x as a linear combination of y1, y2, y3 and use the matrix determined above to determine L(x).

x = [7,5,2]T

The second problem is L is the linear operator mapping P2 into R^2 defined by
L(p(x)) = [integral from 0 to 1 of p(x) dx, p(0) ] T

Find a matrix A such that L(alpha + beta * x) = A[alpha, beta]T.

I already have the solutions to these, but I do not understand how they were attained. Could someone explain the process behind how to solve these problems? That would be most helpful. Thank you.

-lj8866

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20091111-EE-VQP-91

linear algebra

Asked by lj8866 in Math & Science

Tags: linear, algebra, ax, combination

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