A is Complex matrix, sps, A is nor（）mal, and A to the power of k =...
A is Complex matrix,
sps, A is nor（）mal,
and A to the power of k = 0
and k is greater than one
Show A= 0;
Homework Answers
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A is Complex matrix,
sps, A is nor（）mal,
and A to the power of k =...
A is nor()mal ---- A's eigen-value are only 4, 57. ---- Show A to the power...
A is nor()mal ---- A's eigen-value are only 4, 57. ---- Show A to the power of two minus 61A + 228 I = 0 I is identity matrix
k 5. Find the matrix power (3 :) for k € N.
k 5. Find the matrix power (3 :) for k € N.
need help! ns 0.7 0.3 or For the transition matrix P= solve the equation SP ES...
need help!
ns 0.7 0.3 or For the transition matrix P= solve the equation SP ES to find the stationary matrix S and the limiting matrix P. 0.3 0.7 tre mal S=0 (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed.) ons P=0 (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed.) sition the li Tra Appli n ma lo For atrix S ordan Enter your...
3.52 Let A be an mxm positive definite matrix and B be an mxm nonnegative definite matrix.
3.52 Let A be an mxm positive definite matrix and B be an mxm
nonnegative definite matrix.
3.51 Show mal Il A IS à nonnegative definite matrix and a 0 for some z, then ai,-G3 = 0 for all j definite matrix. (a) Use the spectral decomposition of A to show that 3.52 Let A be an m x m positive definite matrix and B be an m × m nonnegative with equality if and only if B (0). (b)...
Problem 15.20.35. Consider the eigenvalues of the matrix 0 -k/m-c/m for the undamped (c 0) and da...
Problem 15.20.35. Consider the eigenvalues of the matrix 0 -k/m-c/m for the undamped (c 0) and damped (c 0) oscillators. Let k 2.5 kg/s and7 kg. Plot the locations of the eigenvalues as x's in the complex plane for a range of values of c. Choose a range amped, and overdamped cases. For each value of c, plot a “x" in the complex plane.
Problem 15.20.35. Consider the eigenvalues of the matrix 0 -k/m-c/m for the undamped (c 0) and...
Problem #1: Take a two-bus system. Bus #1 is represented as an infinite bus with a constant voltage of 120 per unit. Bus #2 is represented as a load / PQ bus with a constant complex power draw (consu...
Problem #1: Take a two-bus system. Bus #1 is represented as an infinite bus with a constant voltage of 120 per unit. Bus #2 is represented as a load / PQ bus with a constant complex power draw (consuming power from system) of 125MW and-55MVAR. The power base for this system is 100MVA. The transmission line between buses #1 and #2 is represented by the pi-model. The series admittance between the buses is Y12-5-12.5pu. The shunt admittance at either end...
Question 5 (a) Let S be a k × k invertible symmetric matrix, and C be...
Question 5 (a) Let S be a k × k invertible symmetric matrix, and C be a k × k invertible matrix. Moreover, let i be a k-dimensional vector. Show the following equality (b) Set 3 0 0 Calculate (Ca) (CSCT)-(Ca) and S. Does your answer contradict the claim in part (a)? Ex- plain Са?) and S-12. Does your answer contradict the claim in part (a)? Ex
true/false 1. Let A be an non matrix with complex entries and nal. A has at...
true/false
1. Let A be an non matrix with complex entries and nal. A has at least one complex eigenvalue.
A1. Let (A, B, C, D) be a SISO system in which A is a (n x n) complex matrix and B a (n x 1) column vector, let -1 V =...
A1. Let (A, B, C, D) be a SISO system in which A is a (n x n) complex matrix and B a (n x 1) column vector, let -1 V = {£ajA*B: aj e C; j= 0, ...,n- (i) Show that V is a complex vector space. (ii) Show that V has dimension one, if and only if B is an eigenvector of A AX for X E V. Show that S defines a linear map from S: V...
3. For the network below, find the complex power S for each element. Show that Σs-0....
3. For the network below, find the complex power S for each element. Show that Σs-0. j4 Q 3Ω 50 450 V (ms) -j6 A (ms) HE 4. For the network shown, determine (a) the value of the load impedance ZL such that maximum power is delivered to the load and (b) the complex power for a load having this value of impedance. 8 Ω -j1 Q 6 Loo A (ms) 50 L00 V (ms) j15 ZL
k 5. Find the matrix power (3 :) for k € N.
need help!
ns 0.7 0.3 or For the transition matrix P= solve the equation SP ES to find the stationary matrix S and the limiting matrix P. 0.3 0.7 tre mal S=0 (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed.) ons P=0 (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed.) sition the li Tra Appli n ma lo For atrix S ordan Enter your...
3.52 Let A be an mxm positive definite matrix and B be an mxm
nonnegative definite matrix.
3.51 Show mal Il A IS à nonnegative definite matrix and a 0 for some z, then ai,-G3 = 0 for all j definite matrix. (a) Use the spectral decomposition of A to show that 3.52 Let A be an m x m positive definite matrix and B be an m × m nonnegative with equality if and only if B (0). (b)...
Problem 15.20.35. Consider the eigenvalues of the matrix 0 -k/m-c/m for the undamped (c 0) and damped (c 0) oscillators. Let k 2.5 kg/s and7 kg. Plot the locations of the eigenvalues as x's in the complex plane for a range of values of c. Choose a range amped, and overdamped cases. For each value of c, plot a “x" in the complex plane.
Problem 15.20.35. Consider the eigenvalues of the matrix 0 -k/m-c/m for the undamped (c 0) and...
Problem #1: Take a two-bus system. Bus #1 is represented as an infinite bus with a constant voltage of 120 per unit. Bus #2 is represented as a load / PQ bus with a constant complex power draw (consuming power from system) of 125MW and-55MVAR. The power base for this system is 100MVA. The transmission line between buses #1 and #2 is represented by the pi-model. The series admittance between the buses is Y12-5-12.5pu. The shunt admittance at either end...
Question 5 (a) Let S be a k × k invertible symmetric matrix, and C be a k × k invertible matrix. Moreover, let i be a k-dimensional vector. Show the following equality (b) Set 3 0 0 Calculate (Ca) (CSCT)-(Ca) and S. Does your answer contradict the claim in part (a)? Ex- plain Са?) and S-12. Does your answer contradict the claim in part (a)? Ex
true/false
1. Let A be an non matrix with complex entries and nal. A has at least one complex eigenvalue.
A1. Let (A, B, C, D) be a SISO system in which A is a (n x n) complex matrix and B a (n x 1) column vector, let -1 V = {£ajA*B: aj e C; j= 0, ...,n- (i) Show that V is a complex vector space. (ii) Show that V has dimension one, if and only if B is an eigenvector of A AX for X E V. Show that S defines a linear map from S: V...
3. For the network below, find the complex power S for each element. Show that Σs-0. j4 Q 3Ω 50 450 V (ms) -j6 A (ms) HE 4. For the network shown, determine (a) the value of the load impedance ZL such that maximum power is delivered to the load and (b) the complex power for a load having this value of impedance. 8 Ω -j1 Q 6 Loo A (ms) 50 L00 V (ms) j15 ZL
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