Module 4
Give all solutions of the nonlinear system of equations, including those with nonreal complex components. x^2-y=0 6x+y=16
(-8,64),(2,4)
Solve the system. State whether the system is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary. 5x-6y=3 -10x+12y=-6
(3+6y/5,y) Just look at the equation and just rearrange it
Give all solutions of the nonlinear system of equations, including those with nonreal complex components. x=|y| x^(2)+y^(2)=18
(3,3),(3,-3)
What are the coordinates of the point of intersection of the boundary lines in the following system? x>5 x<-6
(5,-6)
Find the cofactor of each element in the second row.
Answer: -12,-7,-1 insert the chart in mathway select find the cofacrot matrix and then look at whatever row its asking for
Use the Gauss-Jordan method to solve the system of equations.
Answer: the solution set is (3,-3) Type in the equations and then select "solve using augmented matrix"
Given three noncollinear points, (33,11), (- 4−4,-6−6), and (10,−6). There is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form
Answer: x^2+y^2-6x+12y-4=0 look at the graph
Use the specified row transformation to change the matrix. -2 times row 1 added to row [4,2 8,7]
Answer:0,3 4*-2+8=0 4*-2+7=3
What is the augmented matrix of the following system? -3x+4y=2 12x+2y=7
-3,4,2 12,2,7 Just go straight across
Given A= [2 -4 2 -2] Given B= [5 1 0 -3 3 6] find the product BA if possible.
1. Turn it sideway A turns into [2 2 -4 2] Top bottom order cc
Find the values of the variables for which the statement is true, if possible. [x+1 y-4 z-2 w+3] = [-1 5 0 2]
1. watch out bc w is first 2. do the opposite of what the sign says w=-1 x=-2 y=9 z=2
Solve the system analytically or Solve
4x-2y+5z=45 3x-2y-2z=-8 x-y+3z=22 The solution set is (4,3,7) Put all the equations in on mathway and select "Solve using matrices by elimination"
What is the matrix equation form of the following system?
Check pre-cal ablum in phone to see how it is set up
How can we tell, before doing any work, that the below system cannot have more than two solutions? x^2-y=4 x+y=-2
Consider the graphs; a line and a parabola cannot intersect in more than two points.
Fill in the blanks to correctly complete the following sentence. For the following matrix product to be true, we must have x=
Go to https://matrixcalc.org/en/#%7B%7B5,5%7D,%7B-1,5%7D%7D%2A%7B%7B2,-5%7D,%7B5,3%7D%7D and type in the matrix
Solve the system by using the inverse of the coefficient matrix.
Input the equation in mathway and select solve using an augmented matrix
Use the determinant theorems and the fact that....chart=-95 to find the value of the determinant graph
Just type in the 2nd graph on math way
Find the maximum and minimum values of the objective function 11y over the region of feasible solutions shown below.
The maximum value of the objective function is 121. The minimum value of the objective is 0 Take 11y and multiple it times the y-value The minimum value is 0
The graph to the right shows the region of feasible solutions. Find the maximum and minimum values of the objective function. objective junction= 4x+8y
The maximum value of the objective is 92 at point (5,9) The minimum value of the objective is 20 at point (1,2) Plug in the points in the formula and see which point has the max value at which point
Does the point (4,−8) satisfy the following system?
Yes, because the point (4,−8) satisfies both the inequalities.
Solve the system in terms of the arbitrary variable x.
answer: x, 14x-36, 3x-7 x is always the first blank
Find the values of the variables for which the statement is true, if possible. [-5 x y 2] = [w 0 -4 z]
just fill it in with what is giving to you w=-5 x=0 y=-4 z=2
Decide whether or not the given matrices are inverses of each other. (Hint: Check to see whether their products are the identity matrix Upper I Subscript nIn.)
yes
