3. If a system of equations has corresponding matrix whose reduced echelon form has only pivots (leading entries) to the left of the augment line, but there are fewer pivots than variables, how do we know there are infinitely many solutions?

Applying Kirchoff’s law to the closed loops gives the following equation for current flow in milliamperes:2I1+ 3I2 -4I3 =26I1-5I2-3I3 =-87-7I1+2I2+6I3=12Use the Gaussian Elimination method to solve for I1, I2 and I3.

What is the relation between length of span and sag?: a. sag is directly proportional to square of span b. sag is inversely proportional to squareroot of span C. sag is inversely proportional to square of span d. sag is directly proportional to squareroot of span

Use cramers rule or matrix inverse and show all work please.

Two cities A and B are connected by a 200km long train line. A train leaves A for B at 20 km / h at the same time as another train leaves B for A at 5 km / h. In the samemoment a fly leaves from A to B following the train line. The fly flies at 40 km / h until it collides with train B. At that moment it returns instantly and follows the train line until it collides with train A. At that moment it returns instantly and follows the line of the train. train until it collides with train B. The fly continues this process, traveling ever smaller distances until the two trains meet. (It is an ideal problem and the fly does not get squashed by the trains).What is the total distance traveled by the fly?

The simultaneous equations representing the currents flowing in an unbalanced, three-phase, star connected, electrical network are as follows: 2.4I1 + 3.6I2 + 4.8I3 = 1.2 −3.9I1 + 1.3I2 − 6.5I3 = 2.6 1.7I1 + 11.9I2 + 8.5I3 = 0   Using Gaussian elimination, solve the equations for the currents.

5. For the connection as shown in Figure below, subject to tension and shear, two angles L4 X 31/2 X 5/8 are used to carry their maximum capacity as a tension member of A36 steel. Assume the connection of the angles to the structural tee (WT) web will be along single gage line as shown. Determine the number and positioning of 7/8 in-diameter A325 bolts to attach the WT to the flange of a W section. The flange of WT and the W shape are bolt 3/4 in thick and A36 steel is used. Use a bearing-type A325-X connection. WT 34 3" spacing diam A.325 2-L4 × 3 ×

What are interpoles, and what is their purpose?

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.

The fuel-cost functions for three thermal plants in $/h are given by: C₁ = 0.004P2 +7.2P₁ + 350 $/h C₂ = 0.0025P2 + 7.3P₂ + 500 $/h C3 = 0.003P3 + 6.74P3 + 600 $/h Neglect losses and generators limits, a- Find the optimal dispatch and the total cost in $/h for a load demand of 800 MW. b- Calculate the save in cost in $/h if the load is equally distributed among the three plants.