Question

In: Advanced Math

Use Kramer’s Rule to solve for x, y, and z from the following equations: 4x-7y+2z=4, 3x-11y+5z=3,...

Use Kramer’s Rule to solve for x, y, and z from the following equations:

4x-7y+2z=4,

3x-11y+5z=3,

-9x+4y+3z=1.

(Hint: Use Determinants)

Expert Solution

Crammers Rule:

, , ,

1) Unique solution exists.

2) Infinite solutions exists.

3) No solution exists.

Solution is : , ,

Using this method now we will find the solution of the given problem.

As

4x-7y+2z=4,

3x-11y+5z=3,

-9x+4y+3z=1

Now we will calculate D, D₁, D₂ and D₃

As Given problem has a unique solution

, ,

Thus final Solution :

Colby Messinger answered 3 years ago

solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19...

solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19 -7x+5y=4 -2y+3z=3 e. -x+2y+z-5=0 3x-y-z+7=0 -2x+4y+2z-10=0 f. 1/x+1/y+1/z=12 4/x-3/y=0 2/y-1/z=3

Solve for x,y,z using the inverse if possible. x+2y+5z=2 2x+3y+8z=3 -x+y+2z=3

Solve: 4x - 3z = 1 -3x - z = -3 2x + y + z...

Solve: 4x - 3z = 1 -3x - z = -3 2x + y + z = -1

Maximize p = 2x + 7y + 5z subject to x + y + z ≤...

Maximize p = 2x + 7y + 5z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. P= ? (x, y, z)= ?

3. Solve the following system of equations. 5x- y+ z= -4 2x+ 2y-3z= -6 x-3y+ 2z=...

3. Solve the following system of equations. 5x- y+ z= -4 2x+ 2y-3z= -6 x-3y+ 2z= 0 Select the correct choice below: A. There is one solution. The solution is ( ). B. There are infinitely many solutions. The solutions ( ,z) C. There is no solution. 4. The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 150. The total number of these meals...

T:R ->R3 T(x, y, z) = (2x + 5y − 3z, 4x + y − 5z,...

T:R ->R3 T(x, y, z) = (2x + 5y − 3z, 4x + y − 5z, x − 2y − z) (a) Find the matrix representing this transformation with respect to the standard basis. (b) Find the kernel of T, and a basis for it. (c) Find the range of T, and a basis for it.

Solve the system of equations x?2y?z?2t=1 3x?5y?2z?3t=2 2x?5y?2z?5t=3 ?x+4y+4z+11t= ?1 Using Gauss-Jordan to Solve a System

Consider the following planes. 5x − 3y + z = 2, 3x + y − 5z...

Consider the following planes. 5x − 3y + z = 2, 3x + y − 5z = 4 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b) Find the angle between the planes. (Round your answer to one decimal place.)

Solve linear equations by Gaussian Elimination 2x-3y+z-w+u=0 4x-6y+2z-3w-u=-5 -2x+3y-2z+2w-u=3

Solve the set of equations: 3x - 5y = - 1, x - y = - 1?