Find out the values of X1 and X3 from the following set of equations using Cramer's rule: 2X, +4X,-X, = 3 X-3X, +2X, = -1 6X, +5X, + X, = 5 tttttttt

Q: A shop sells 3 brands of textile: B1, B2, and B3 of yarn, each of which is a blend of Orange (0),…

A: Given that,A shop sells 3 brands of textiles: B1, B2, and B3 of yarn, each of which is a blend of…

Q: Show that [x, p;] = iħ.

A: note :  As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: Let z = 2 – 3i and w = -3 + 2i. (a) Find z + w and z – w. -

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Q: Compute ||x||1, ||x||2, and ||x||∞ for each of the followingvectors in R3. x = (−1,−1, 2)T

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Q: Q1. Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z+ w= 6…

A: use cramer's rule to solve for y withoutsolving for the unknowns x,z and…

Q: Let A and B be two sets and f be function. f: A B.Assuming the function f is invertible, what is the…

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

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Q: Find the following values using Cramer is rule. 2x+2y-z 2 x-3y+z =-28 -x+y= 14

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Q: 4メーY - 3z = -8 -x+3y - 2z =5 2x + 2y -5z =7 ニ

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

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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: 5/ Please explain the answer in detail

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Q: Solve using Cramer's rule. 2x+8y = 11 4x+6y = 3 %3D %3D

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Q: 2x+ 3y-z =1 4x + y-3z = 11 3x-2y +5z = 21 | %3D

A: Solution:

Q: Let k be a real number. By using Cramer's rule, the solution of the following system is: f2x + 2y 2k…

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Q: Compute ||x||1, ||x||2, and ||x||∞ for each of the followingvectors in R3. x = (−3, 4, 0)T

A: Given, A vector x = (−3, 4, 0)T in R3.

Q: Find all the numbers z such that e^2iz= 5i.

A: We are given : e2iz=5i Now Using  Euler's equation: ( eix=cos x+i sinx) ⇒e2iz=cos (2z) +i sin(2z)…

Q: Find P and D such that P is invertible, D is diagonal and D= P'AP, for 2 -2 3 0 3 -2 0 -1 A=

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Q: The dual of the spectral norm is given by || A||2 = 0₁ + ··· + 0₂,

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Q: Find the covariance between x and y

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Q: 1 0 -4 1 -2 5 x, 13 -3 0 7 5 2 -2 3 4.

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Q: In applying Cramer's rule, what does it mean if D 0? %3D

A: D=0

Q: 6. ven 0 2 By using Cramer's Rule, find z = Dz D -4 2 5 -1 27 -105 -21 o a. z = 42 o b. z = -21 -63…

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Q: 2x+ 3y-z =1 4x + y-3z = 11 3x- 2y +5z =21

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Q: Find the values of w, x, y, z and Dx, using Cramer's Rule x + y + z + w = 13 2x + 3y - w = -1 -3x…

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Q: X, + x, +x3 - 2x, = 2 2x, — 3х, + х, — 4х, 3 6 x, + 2x, – 3x, + 4x, = -5 denklem sistemini Cramer…

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Q: 10)Use Cramer's Rule to solve: (-x+2y-3z = 1 2x | + z = 0 3x-4y + 4z = 2 %3D

A: Use Cramer's rule to solve:   -x +2y -3z =12x + z             = 03x-4y+4z    =2

Q: 4) Find the adjoint of the operator Lu = u" + 4u'- 3u, where u'(0) = -4u(0), u(1) = -4u(1).

A: The objective is to find the adjoint of the operator, Lu=u''+4u'-3u where u'(0)=-4u(0), u'(1)=-4u(1)…

Q: Use the adjoint of to find A−1.

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Q: (d) Determine the right cosets of ((1 2), [1]) € S3 x Z2.

A: I just used the definition  of cosets

Q: uppose A is a diagonali= . Would this be true if

A: Given, A is a diagonalizable n x n matrix whose eigenvalues are all 1 or -1.

Q: Prove that Co +2C, +4C₂ +8C3 +..... +2 °C₁ = 3^

A: Given problem:- Prove that C0 +2C1+4C2+8C3+...... + 2n nCn =3n

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

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Q: Let a be a positive real number and I = , Sdydx. 1 2vx

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Q: a

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Q: Let 1 1 1 1 2 3 3 A = 0. 1 -1 B = 2 2k -6 1 and = 4 %3D -1 1 3 5 4k 11 Solve Az = b using Cramer's…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1. Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z+ w= 6…

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Q: 14. Use Cramers rule to solve for x in the following: 3x – y + z = 1 -x + 2y + z = 2 x - y + z = -3

A: Using Cramers Rule to solve the Given System of Equation

Q: Find the canonic analytical expression of the following quadratic form q: R³ → R, q (x) = 6x,²+x,² –…

A: Given quadratic equation is…

Q: Use Cramer’s rule to solve each of the following systems: x1 + x2 = 0 x2 + x3 − 2x4 = 1 x1 + 2x3 +…

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Q: x+ y +z = 4 2х- Зу+2-2 -x + 2y - z = -1

A: Given, system of equations is-                        x+y+z=4                      2x-3y+z=2…

Q: The set B = {4+ x2, 12 – 4x + 3x2, 12x - 31 – 8x2} is ab rdinates of p(x) 75 – 24x + 19x? relative…

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Q: In applying Cramer's rule, what does it mean if D = 0?

A: Cramer's rule is a method which is used to solve the system of equations having same number of…

Q: Solve by using Cramer's Rule: 4x-2y+6: %3D 3x+4y+2: %3D 2x-y+3z O A. Not independent O B. (2, -2, 0)…

A: we first find the D (i.e., coefficient matrix) and find the determinant of matrix D. if |D|=0 then…

Q: Let z, = 4 – 2i ; z2 = 3 + i ; z3 = 1 + 2i || -

A: Given z2 = 3+i and z3 = 1+2i

Q: Solve for z using cramer's rule.  2x-y-z=4 4x+y+z=2 3y+z=2

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Q: Use Cramer's rule to solve the following. 2х -Зу %3D13 2x-y = 7

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Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

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Q: use cramers rule to find the value of z, please show all written out work! 1x+1y+5z=124…

A: Given system of linear equations, x+y+5z=124 -x+4y+5z=141 -5x-2y+2z=-104