(b) Use Cramer's rule to solve for y without solving for the unknowns x, z, and w. 4x+ y+ z+ w= 6 3x+7y - z+ w= 1 7x+3y – 5z+8w= -3 x+ y+ z+2w= 3

Q: Find the value of z in the following system of lincar equations by using Cramer's rule: x- 2y + 2z =…

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Q: The ODE (x dy/dx = yx²) is separable. true false If for a square matrix A and B, null matrix O, AB =…

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Q: ) Let 4X+5Y =2 11X+Y+2Z= 3, X+5Y+2Z=1 Find det(Y)( Use Cramer's Rule) O 12 -24 -132 O -36 estion 11…

A: Consider the given information (1)  4x+5y=211x+y+2z=3x+5y+2z==1 Find dety or Dy   Dy=42011  3…

Q: ANSWERED Monday, Dec 13, 2021 MATH • CALCULUS 14 Let z = f(x,y)= x^2 + y^2 + 2x^2y^2 1. Then f(2,1)…

A: We have to find the yz trace of z = x2 + y2 + 2x2y2

Q: Determine whether Cramer’s Rule is used correctly to solve for the variable. If not, identify the…

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Q: Find the values of x, y and z in the following system of equations by using the Cramer's Rule.…

A: Consider the following system of equations. a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 The solution…

Q: Q.1. Use Cramer's rule to find x, in the linear system. 2x, +x, +x3 = 4, -x, +2x, = 2, 3x, +x, +3x,…

A: Solve it by using Cramer's rule.

Q: For Exercise, use Cramer's rule to solve for the indicated variable. X1 + 2x2 + 3x3 – 4x4 = 3 5x2 +…

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Q: Solve the equation 2x+y-z=1,z=1,x-y+z=2,5x+5y-4z=3 by cramer's rule

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Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous…

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Q: The tensions, T1 ,T, and T3 in a simple framework are given by the equations below. Determine T ,T,…

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Q: |ニ2+A+X Əsn use Cramers rule to sol

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Q: Find the values of w,x,y and z in fraction form using a)gauss elimination, b) gauss-jordan…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Hiw@) using Cramer's vule to find theur:iablas X- 8Y+2 =4,1-X+2y+2= 2,/ X-y+2Z= -1

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Q: By hand, use Cramer's rule to solve system i above

A: # As per the guidelines we are entitled to solve one question at a time , Please resubmit the other…

Q: 1 ptO Use Cramer's rule to solve the system: (2x+3y-z%=D1 4x+y-3z=D11 only Cramer's rule is…

A: Given: The equations are; 2x+3y-z = 1 4x+y-3z=11 3x-2y+5z=21

Q: a Let A = d. e f Lg h If det (A) = -7, compute the determinant of 2a 26 2c B = -e-f f 3g 3h 3i O -42…

A: Given matrix A=abcdefghi and det(A)=-7

Q: 5. Let m be a real number. Then the solution of the system mr - 2y = -1 I+ 3my = 2 using Cramer's…

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Q: (a) Show that {e¬*,xe¯} is a fundamental set of solutions of y" + 2y' + y = 0 on (0, 00).

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Q: 10. Given k = and n and m are positive integers. Prove the following orthogonality conditions: a) S,…

A: Given- Given k = 2πL and n and m are positive integers. To Prove- Prove the following orthogonality…

Q: 15. What is the appropriate set up to solve for y using Cramer's Rule with the following system 2x…

A: Suppose the system of the equations is:  a1x+b1y+c1 z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 The solution of…

Q: 2. Use Cramer's nule to sorve the followng Syster. of equations 39+2x=Z+l 3x + 27 =8-5y 37-1 = x- 2y

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Q: a) By using the property of the determinants prove that 1 + a? - b2 2ab -2b 1- a? + b? = (1 + a? +…

A: By using the properity of determinats prove that :

Q: 18. Suppose that a C de f Find each of the following determinants. a Ь (a) d 3g 3h 3i О Ь (b) | d+3g…

A: Given  abcdefghi=7 a              abcdef3g3h3i=3abcdefghi                              =3×7…

Q: 6. Find the value of x, y and z using Cramer's Rule and Gauss-Jordan Method. X+y+z 12 2x + 5y-3z 6…

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Q: solve the following equations with: a-inverse methode. b-cramer method. 0.3x1 + 0.52x2 + x3 = -0.01…

A: The equations are 0.3x1+0.52x2+x3=-0.01 0.5x1+x2+1.9x3=0.67 0.1x1+0.3x2+0.5x3=-0.44

Q: sin'a cos'a cos²x sin?x 1 1 10 12 2

A: We use properties of determinant

Q: Solve the following systems of equations using the Cramer's Rule X1 + 2x2 + 3x3 = 5 X1 + 3x2 + 3x3 =…

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Q: Solve the following system using Cramer's rule. 15x + 21y = - 25 21x + 6y = - 5

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Q: This is a direction field plot for the 2 × 2 system X'(t) = AX(t): %3D 2 1 -1 -2 -2

A: The direction field plot for 2×2 system X't=AXt is shown below.

Q: a) Functions y1, y2,., Yn are said to be linearly independent on an interval I if the equation c1y1…

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Q: Solve the equation 2x +y - z = 1, z =1, x - y +z = 2, 5x+5y - 4z = 3 by Cramer's rule.

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Q: :- 2y = -1 5. Let m be a real number. Then the solution of the system r+3my = 2 using Cramer's rule…

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Q: 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31…

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Q: Use Cramer's rule to solve for x = _____________ y = _____________ z = _____________ w =

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Q: (bj) be the squar %3D E i, j< 3. If the detern nt of BT is

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Q: 3 1 1 4 1 4 1 V2 3 7 ら=|0 8. V. 2 8. 9 3 8 8. 3/4

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Q: Solve for the unknows using Cramer's Rule in the following systems of equations. 2x + 2y - z = 2…

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Q: a. If AER dxd satisfies A¡¡>0 for i=1,...,d, then A is invertible. dxd b. When A,BER are both…

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Q: Let M = [4 a 0 0 3 b 0 0 1]. Find the determinant of 2M + 3I3

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Q: If A = a and A,, denotes the cofactor of a, then which of the following is not equal to zero ? |3D

A: let the determinant A=a11a12a13a21a22a23a31a32a33 taking option A: a31A11+a32A12+a33A13…

Q: Using Cramer's Rule, determine D3 D1- 2D2+ 2 from the following system 1 -3 5 0 4 2 X1 X2 2 8 -1 3…

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Q: Solve for the value of x, y and z using Cramer's Rule. e-3xe7 e5ye7z 3y 5z) + 3 = 10 e3ye3z (13 (5y…

A: First simplify all three equation in linear form . Simplify the equation e3xe5e3ye3z=e-3xe7e5ye7z .…

Q: eBu – 1 eBau – 1 R(u) = 1B1 |u eBu + q – 1 + y2B2 u e$zu + q – 1

A: Given  Ru=γ1β1u-eβ1u-1eβ1u+q-1+γ2β2u-eβ2u-1eβ2u+q-1                  (i) To find a root of the…

Q: (ii) 3p – 2q 19 4p + 5q = 10 Find p and q using inverse matrix method and cramers rule %3D

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Q: Consider the following system in which s is an unspecified parameter. Determine the values of s for…

A: According to the given information, it is required to find the value of ‘s’ for which system has…

Q: 1 Solve the following linear equations by the use of the Cramer's rule (a) 3x1 - 7x2 - 2x3 = -7,…

A: Given; (a) 3x1-7x2-2x3=-7      -3x1+5x2+x3=5       6x1-4x2=2. (b) x1-2x2+3x3=1     -x1+3x2-x3=-1…

Q: Use Cramer's Rule to find values for z, y, and z that satisfy the following system. -5z + 6y + 4z =…

A: To use the cramers rule to solve the given system of equations.

Q: Use the Cramer's rule to solve the equation +2z = 2 2х - у = 5 x-y-z =0

A: We will find out the required solution.

Q: mx 2y = -1 5. Let m be a real number. Then the solution of the system x + 3my = 2 using Cramer's…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.