![13) Is S linearly independent. S = {7 - 4x + 4x2, 6+ 2x - 3.c, 20 - 6x + 52²} 14) Is S a basis for M2x2? s_ S 1 2] 12 -7] [ 4](http://img.homeworklib.com/questions/cc451b50-4163-11eb-97cd-ff452eb58c82.png?x-oss-process=image/resize,w_560)
Homework Answers
1. (15 points) Prove whether the following sets are linearly dependent or independent, and determine whether...
1. (15 points) Prove whether the following sets are linearly dependent or independent, and determine whether they form a basis of the vector space to which they belong. s 10110 -1 ) / -1 2) / 2 1 17 ) } in M2x2(R). "11-21 )'(1 1)'( 10 )'(2 –2 )S (b) {23 – X, 2x2 +4, -2x3 + 3x2 + 2x +6} in P3(R) (the set of polynomials of degree less than 3. (c) {æ4—23+5x2–8x+6, – x4+x2–5x2 +5x-3, x4+3x2 –...
2) Let T be a linear transformation from P3(R) to M22(R). Let B= (1+2x + 4x2...
2) Let T be a linear transformation from P3(R) to M22(R). Let B= (1+2x + 4x2 + 8x3), (1 + 3x + 5x2 + 10x3), (1 + 4x + 7x2 + 13r%),(1 + 4x + 7x2 + 14x²). Let C= [] [ 1];[1 ] [ ] 0 17 40 Let M= 13 31 36 124 22 52 -61 -209 23 55 -64 -220 be the matrix transformation of T from basis B to C. -47 -161 The closed form of...
Chapter 7, Section 7.3, Question 13 Determine whether the members of the given set of vectors...
Chapter 7, Section 7.3, Question 13 Determine whether the members of the given set of vectors are linearly independent for -- <t<. If they are linearly dependent, find the linear relation among them. x(1)(+) *(?)() - -602-7). «(20) = (23) | 2e-t/ linearty dependent, x(1)(t) - x2)(t) + x)(+) - 0 Iinearly dependent, x' (t) – x2)(t)-4x)(t) = 0 linearly independent linearly dependent, -2x)(1)-4x2)(t) - x)(t) - 0 linearly dependent, 2x{1}(t) - 4x2)(t) + X(t)- 0
13. S(3 – 2x – 4x²)(1+4x) dx 14. S Inx) dx =
13. S(3 – 2x – 4x²)(1+4x) dx 14. S Inx) dx =
Part S: Compate fer each set of fractions 2 4 6 1 8+12- 2+7- 3 5...
Part S: Compate fer each set of fractions 2 4 6 1 8+12- 2+7- 3 5 7 10-5-1 4 2 3 1 9 3 10 5- 7 2 3 3 5 3- 8 5- Part 6: Add and subtract the signed numbers. 8+18-(-3) -5-(-17) 42+ (-4) -12-(+26) 3+(-29)+ (-11) 0-(-16) +7 15-4+(-18) -54 +34 8+((41-(-17) -17-(-3+-1) 5-(16+-2) -33+(-5-6) Part 7: Multiply and divide the signed numbers (-4X-5)(20) (-2)(-7)-4) 13(-3)X2) 12+-3 -26/-13 (3(4X-1) -35+5 -84/-2 (11-3)3 6/3-2 (4 8)-1 (-30/10) -7
Problem 25 please -Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e...
Problem 25 please
-Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
Finite Math MIXED CONSTRANTS 3. Minimize z = 18x3 + 24x2, subject to 3x, +4x, 2...
Finite Math
MIXED CONSTRANTS
3. Minimize z = 18x3 + 24x2, subject to 3x, +4x, 2 48 x + 2x, s 22 3x + 2x, S 42 X, X, 20 4. Minimize z = 8x1 + 10x2 + 25x3, subject to x + x3 30 2x, + 4x2 + 5x, 270 2x2 + x3 2 27 X, X2,43 20
Help solving. please confirm my answers 13. -18 = y + 6 -24=1 14. 15 -...
Help solving. please confirm my answers
13. -18 = y + 6 -24=1 14. 15 - 3a = - 4a + 16 +46 +46 ibra = 16 G la = 1 16. 6 = (15n-6) G=-24) 15.5(x – 3) + 12 = -2(x - 2) 5x-15+3 = -2x+ 43 sx +3 = -2x + 4 5x = -24 7 +2x = +6x 17. * =*x+1 703 X=1 5n=-12 S 18.10(x + 3) - (-9x - 4) = x-5+3 20.-3 (1...
A. L=3; K=6 B. L=10; K=6 C. L=7; K=9 D. L=8; K=7 The graph below shows...
A. L=3; K=6
B. L=10; K=6
C. L=7; K=9
D. L=8; K=7
The graph below shows a firm's isoquants and isocosts. The firm is initially producing Q=20 with the cost minimizing combination of K and L, where Q is output, Kis capital and L is labor. Suppose the owner decides to expand production to Q=40. However, he signed a lease on the capital necessary to produce Q=20, which he cannot get out of in the short run. In order to...
3. Which of the following set of vectors in R3 are linearly independent? (a) (6, -11,...
3. Which of the following set of vectors in R3 are linearly independent? (a) (6, -11, 2); (-6, 13, -2), (b) (2,6,6); (2,7,6); (2,7,7), (c) (1,-1,3); (-2,0,5); (3,-1, 1); (2,2,3). Explain your answer. Which of these systems forms a basis in R3.
1. (15 points) Prove whether the following sets are linearly dependent or independent, and determine whether they form a basis of the vector space to which they belong. s 10110 -1 ) / -1 2) / 2 1 17 ) } in M2x2(R). "11-21 )'(1 1)'( 10 )'(2 –2 )S (b) {23 – X, 2x2 +4, -2x3 + 3x2 + 2x +6} in P3(R) (the set of polynomials of degree less than 3. (c) {æ4—23+5x2–8x+6, – x4+x2–5x2 +5x-3, x4+3x2 –...
2) Let T be a linear transformation from P3(R) to M22(R). Let B= (1+2x + 4x2 + 8x3), (1 + 3x + 5x2 + 10x3), (1 + 4x + 7x2 + 13r%),(1 + 4x + 7x2 + 14x²). Let C= [] [ 1];[1 ] [ ] 0 17 40 Let M= 13 31 36 124 22 52 -61 -209 23 55 -64 -220 be the matrix transformation of T from basis B to C. -47 -161 The closed form of...
Chapter 7, Section 7.3, Question 13 Determine whether the members of the given set of vectors are linearly independent for -- <t<. If they are linearly dependent, find the linear relation among them. x(1)(+) *(?)() - -602-7). «(20) = (23) | 2e-t/ linearty dependent, x(1)(t) - x2)(t) + x)(+) - 0 Iinearly dependent, x' (t) – x2)(t)-4x)(t) = 0 linearly independent linearly dependent, -2x)(1)-4x2)(t) - x)(t) - 0 linearly dependent, 2x{1}(t) - 4x2)(t) + X(t)- 0
13. S(3 – 2x – 4x²)(1+4x) dx 14. S Inx) dx =
Part S: Compate fer each set of fractions 2 4 6 1 8+12- 2+7- 3 5 7 10-5-1 4 2 3 1 9 3 10 5- 7 2 3 3 5 3- 8 5- Part 6: Add and subtract the signed numbers. 8+18-(-3) -5-(-17) 42+ (-4) -12-(+26) 3+(-29)+ (-11) 0-(-16) +7 15-4+(-18) -54 +34 8+((41-(-17) -17-(-3+-1) 5-(16+-2) -33+(-5-6) Part 7: Multiply and divide the signed numbers (-4X-5)(20) (-2)(-7)-4) 13(-3)X2) 12+-3 -26/-13 (3(4X-1) -35+5 -84/-2 (11-3)3 6/3-2 (4 8)-1 (-30/10) -7
Problem 25 please
-Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
Finite Math
MIXED CONSTRANTS
3. Minimize z = 18x3 + 24x2, subject to 3x, +4x, 2 48 x + 2x, s 22 3x + 2x, S 42 X, X, 20 4. Minimize z = 8x1 + 10x2 + 25x3, subject to x + x3 30 2x, + 4x2 + 5x, 270 2x2 + x3 2 27 X, X2,43 20
Help solving. please confirm my answers
13. -18 = y + 6 -24=1 14. 15 - 3a = - 4a + 16 +46 +46 ibra = 16 G la = 1 16. 6 = (15n-6) G=-24) 15.5(x – 3) + 12 = -2(x - 2) 5x-15+3 = -2x+ 43 sx +3 = -2x + 4 5x = -24 7 +2x = +6x 17. * =*x+1 703 X=1 5n=-12 S 18.10(x + 3) - (-9x - 4) = x-5+3 20.-3 (1...
A. L=3; K=6
B. L=10; K=6
C. L=7; K=9
D. L=8; K=7
The graph below shows a firm's isoquants and isocosts. The firm is initially producing Q=20 with the cost minimizing combination of K and L, where Q is output, Kis capital and L is labor. Suppose the owner decides to expand production to Q=40. However, he signed a lease on the capital necessary to produce Q=20, which he cannot get out of in the short run. In order to...
3. Which of the following set of vectors in R3 are linearly independent? (a) (6, -11, 2); (-6, 13, -2), (b) (2,6,6); (2,7,6); (2,7,7), (c) (1,-1,3); (-2,0,5); (3,-1, 1); (2,2,3). Explain your answer. Which of these systems forms a basis in R3.
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