Question

Use Cramer’s Rule to solve the equations :

? − ? + 2? = −3

4 = ?3 + ?2 + ?

3− = ? + ? + ?2

Answer #1

Use Cramer’s Rule to solve the system. x − 6y = 3 3x + 2y =
1

Given a matrix F = [3 6 7] [0 2 1] [2 3 4]. Use Cramer’s rule to
find the inverse matrix of F.
Given a matrix G = [1 2 4] [0 -3 1] [0 0 3]. Use Cramer’s rule
to find the inverse matrix of G.
Given a matrix H = [3 0 0] [-1 1 0] [-2 3 2]. Use Cramer’s rule
to find the inverse matrix of H.

Show and explain how to solve cramer’s rule using Matlab.

Consider the following system of equations:
2x1 + 8x2 = 2
x1 + x2 = 4
a) Express the system in the matrix form: Ax = b
b) Showing all work, solve the equations for x1 and
x2 using Gauss-Jordan method
c) Showing all work, solve the equations for x1 and
x2 using Cramer’s Rule
d) Showing all work, solve the equations for x1 and
x2 using the method of Matrix Inversion

Solve the national income model in homework by matrix
inversionorby OR by Cramer’s Rule.
Y = C + I0+ G0+ (X-M)
C = a + b(Y-T+R), 0<b<1
T = tY, 0<t<1
where R is transfer payments, (X-M) is net exports, and the
other variables are as defined in class.

Use? Cramer's rule to solve the system of equations. If
D equals=?0, use another method to determine the solution
set
5x+5y-15z=9
5x+y-z=7
-x-y+3z=4

given the system of equations
-3x2+7x3=4
x1+2x2-x3=0
5x1-2x2=3
a. compute the
determinant
b. use cramers rule to solve
for the x's.
c. use gauss elimination with
partial pivoting to solve for the x's.
d. substitute your results
back into the original equations to check your solution.

2.Use separation of variables to solve (3x^2(1-y^2))/2y with
initial condition y(1)=2.
3.State the solution of the homogeneous ODE with roots of its
characteristic equation of r= 1,1,1,+-7i,3+-5i.
4.Consider the system of linear equations:
2x+6y+z=7
x+2y-z=-1
5x+7y-4z=9
solve this system using: a) Carmer's rule, b)Gauss-Jordan
elimination, c) an inverse matrix.

Solve the following system of linear equations:
{ 3? + 2? − ? = 8
2? − 3? + ? = −3
? − ? − ? = 6

Use? Cramer's rule to solve the system or to determine that the
system is inconsistent or contains dependent equations.?
x+y=7
x-y=5
Find the determinants: D,Dx,Dy?

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