![Problem 1. Linear Algebra and Transforms (no partial credit). (1Spts) (a) Let 4 ab (4pts) (1) Find the transpose of A. (2) Find the inverse of A. (3) Find the all the eigenvalues of A (4) Find the characteristic equation of A. (b) Find the inverse Laplace transform of F(s)- (2pts) (s+3) (e) Given T)16 . find the settling time, (T.) and the percent over shoot (90S). s +3s+16 (2pts) doiven, A-F ,I-uc-l13] D-0, findthetransfer function, as). .. | -| | C-|1 3] D:0, find the transfer function, G(s). (2pts) G(s)- (e) Consider the following MATLAB codes: (Spts) numi-100 [0.1 1]; den1-conv([1 0].[1 -1]) den2-conv(denl,[0.01 1]) bode(numl,den2) Find the transfer function which corresponds to the above code.](http://img.homeworklib.com/questions/cab46be0-1813-11ec-acd2-9591a9c187ea.png?x-oss-process=image/resize,w_560)
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Problem 1. Linear Algebra and Transforms (no partial credit). (1Spts) (a) Let 4 ab (4pts) (1)...
2. Determine the Laplace transforms of the periodic functions in Fig. An 1 2 3 4...
2. Determine the Laplace transforms of the periodic functions in Fig. An 1 2 3 4 0 246 3. Determine the inverse Laplace transform of each of the following functions: (a) F(s)4+ (b) G(s) 3s+ H)+3) (d) J(s) = (s +2)2(s + 4) Find the inverse Laplace transform of: s s+1 s+4 4 12 4. s+13 s(S +4s
1. problem 2. and 3. as follows Find the inverse Laplace transforms of the following function:...
1.
problem 2. and 3. as follows
Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0
Linear Algebra Problem # 4 Let A be a 4x4 matrix; the row vectors are a1-(1...
Linear Algebra
Problem # 4 Let A be a 4x4 matrix; the row vectors are a1-(1 230); a2 (452 1):a3-(12 5 0); a4-(2 311) Find a Symmetric matrix S and a skew symmetric T such that A- S+T
Need Help ASAP!!!! Subject: Linear Algebra (a) Let A= r 7 T 5 2 4 0...
Need Help ASAP!!!!
Subject: Linear Algebra
(a) Let A= r 7 T 5 2 4 0 1 i. Compute det A in terms of r. ii. Find all value(s) of z such that A is NOT invertible. (b) Let the characteristic polynomial of a matrix B be – 23 +22 +6%. i. Find the size of B. ii. Find all the eigenvalues of B including multiplicity. iii. Find the determinant of B.
linear algebra ( multiple choice) 54 Thee set of points 5a. What kund af a Matris...
linear algebra ( multiple
choice)
54 Thee set of points 5a. What kund af a Matris chain Matrices USIC FORA 5 10 The nu space of a Sas matrix has a rank of 2. Now many free varubles ane there Matra Ais Find its determinan a 200 30 72. Given matria A above, find the minar at pestion 3.3 76. What is the inverse of item 72 given the determinant i-71 7. Determine the eigof -12111-S10 Apta 8. Find the...
Please help with these 4 from my linear algebra study guide, thank you! 1. Let -1...
Please help with these 4 from my linear algebra study guide,
thank you!
1. Let -1 A= -1 1 -2 3 -2 3 4 2 (a) Find a basis for Col(A). (b) Find a basis for Null(A). 2. Show that 1 -4 1 0 9 BE { 2 -5 5 -7 is a basis for W, where W= 2s - 5t 3r + 8 - 2t r - 4s + 3t -r + 2s ER:r, 8, ER 3. Let A=...
need help with linear algebra problem #15 will thumbs up! thank you 13. The gradient Vh(x,y)...
need help with linear algebra problem #15
will thumbs up! thank you
13. The gradient Vh(x,y) = 14. For the function h(x, y), what is the isoparametric curve h(3, 0)? 15. For the function s(x, y) = x2 + y2, sketch the contour s(x, y) = 4. 16. Find the bilinear interpolant to the following four points at (0.5, 0.5). b0,0 = b1,0 = 0 b1,1 = 1 b0,1 = 1 17. What are the isosurfaces of the trivariate function...
problem 7 Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure....
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
These are linear algebra problems. 1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is in...
These are linear algebra problems.
1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is invertible, and if so, use the adjoint method Enter as a matrix, exactly in fractional from if required, if not invertible enter "NA" A-1 la b -2a -2b -2c d e f d = -2,find Given that g hi g-3d h-3e -3f -2a -2b -2c d f g 3d h 3e...
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-th...
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-the slope of 2010giolG jo) at 0.1 < ω < I The slope of 201°golG jo) at ω > 4000-the slope of 2010giolGUo) at 400 < ω < 4000 20log1G(jo) -40 60 80 10 10' 4 10 40 10 400 10 4000 10 w(rad/sec)
Problem 4:...
2. Determine the Laplace transforms of the periodic functions in Fig. An 1 2 3 4 0 246 3. Determine the inverse Laplace transform of each of the following functions: (a) F(s)4+ (b) G(s) 3s+ H)+3) (d) J(s) = (s +2)2(s + 4) Find the inverse Laplace transform of: s s+1 s+4 4 12 4. s+13 s(S +4s
1.
problem 2. and 3. as follows
Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0
Linear Algebra
Problem # 4 Let A be a 4x4 matrix; the row vectors are a1-(1 230); a2 (452 1):a3-(12 5 0); a4-(2 311) Find a Symmetric matrix S and a skew symmetric T such that A- S+T
Need Help ASAP!!!!
Subject: Linear Algebra
(a) Let A= r 7 T 5 2 4 0 1 i. Compute det A in terms of r. ii. Find all value(s) of z such that A is NOT invertible. (b) Let the characteristic polynomial of a matrix B be – 23 +22 +6%. i. Find the size of B. ii. Find all the eigenvalues of B including multiplicity. iii. Find the determinant of B.
linear algebra ( multiple
choice)
54 Thee set of points 5a. What kund af a Matris chain Matrices USIC FORA 5 10 The nu space of a Sas matrix has a rank of 2. Now many free varubles ane there Matra Ais Find its determinan a 200 30 72. Given matria A above, find the minar at pestion 3.3 76. What is the inverse of item 72 given the determinant i-71 7. Determine the eigof -12111-S10 Apta 8. Find the...
Please help with these 4 from my linear algebra study guide,
thank you!
1. Let -1 A= -1 1 -2 3 -2 3 4 2 (a) Find a basis for Col(A). (b) Find a basis for Null(A). 2. Show that 1 -4 1 0 9 BE { 2 -5 5 -7 is a basis for W, where W= 2s - 5t 3r + 8 - 2t r - 4s + 3t -r + 2s ER:r, 8, ER 3. Let A=...
need help with linear algebra problem #15
will thumbs up! thank you
13. The gradient Vh(x,y) = 14. For the function h(x, y), what is the isoparametric curve h(3, 0)? 15. For the function s(x, y) = x2 + y2, sketch the contour s(x, y) = 4. 16. Find the bilinear interpolant to the following four points at (0.5, 0.5). b0,0 = b1,0 = 0 b1,1 = 1 b0,1 = 1 17. What are the isosurfaces of the trivariate function...
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
These are linear algebra problems.
1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is invertible, and if so, use the adjoint method Enter as a matrix, exactly in fractional from if required, if not invertible enter "NA" A-1 la b -2a -2b -2c d e f d = -2,find Given that g hi g-3d h-3e -3f -2a -2b -2c d f g 3d h 3e...
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-the slope of 2010giolG jo) at 0.1 < ω < I The slope of 201°golG jo) at ω > 4000-the slope of 2010giolGUo) at 400 < ω < 4000 20log1G(jo) -40 60 80 10 10' 4 10 40 10 400 10 4000 10 w(rad/sec)
Problem 4:...
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