For a set of linear algebraic equations in matrix format,
To fill in the blank space: For a set of linear algebraic equations in matrix format,
Answer to Problem 6.1MCQ
For a set of linear algebraic equations in matrix format,
Explanation of Solution
Given:
A set of linear algebraic equations in matrix format,
If
Multiplying
This implies that the solution of the given matrix equation is
For a given matrix
Then, for given matrices
Thus, if
So, filling in the blank space in the given statement:
For a set of linear algebraic equations in matrix format,
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Chapter 6 Solutions
Power System Analysis and Design (MindTap Course List)
- In Newton Raphson method of power flow study, polar form results in more A8 True / False number of equations and larger size of Jacobian as compared to rectangular form. The decoupled Newton method saves by a factor of four on the storage for the A9 True / False Jacobian matrix and its triangulation.arrow_forwardThe ---_characteristi cs shows the relation between the generated e.m.f at no load and the field current. O a. internal b. non-magnetic C. external d. magneticarrow_forwardD5. Show that the pair (A,C) is observable if and only if the pair (A - LC, HC) is observable for any n xp matrix L and any non-singular p < p matrix H. (Hints: The PBH rank test for observability will be useful; pre- or post-multiplication by a square nonsingular matrix does not affect the matrix rank.)arrow_forward
- Write a matrix equation that determines the loop currents For each matrix, ket row 1 correspond to loop 1 ow 2 conenpond tnp 2, and so on Aso, enter positive values for postive votages and negative valuos for negative voltages 18 V 23 V 12V 24Varrow_forwardGauss-Elimination Solve the following systems of equations by using the Gaussian Elimination method.arrow_forwardThe mathematical relationship between the voltage and current in a J-FET is a ___. a.quadratic function b.All of the above c.sinusoidal d.exponential e.linear functionarrow_forward
- Using Kirchhoff’s Laws, solve for the current in each branch.: If you derived more than three equations, show solution on how you solved for the unknowns by usingsimultaneous equations. You may use elimination, substitution, matrix, etc.arrow_forwardZ MATRIX( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).arrow_forwardIn a load flow problem solved by Newton Raphson method with polar coordinates, the size of the jacobian is 100*100. If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is _____arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning