Math III HW# 14 inverse of matrix Q1/ Solve the following system of three linear equations using method of operations on rows -x1 + 3x2 = -72 3x1 + 4x2 – 4x3 = -4 -20x1 – 12x2 + 5x3 = -50 Q2/ Solve the following system of three linear equations using method of minors, cofactors and adj. 16x + 16y + 17z = 10 -14x + 17y – 3z = 75 -5x – 11y – 18z = 43 %3D Q3 E/ Solve the following system of three linear equations using either method of operations on rows or method of minors, cofactors and adj. x + 2y – 7 = 1 2x + 3y + z = 2 x + 3y – 2z = 1

Q: 5x +2y -9z 44 -9x -2y +2z 11 6x +7y +3z =5

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Q: Solve the system by using the inverse of the coefficient matrix. 4) 2x1 + 6x2 = 2 2x1 - x2 = -5

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Q: -1 2 4, 3 A = -1 2

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Q: How can I get these linear equations in a form that I can put them into a matrix: X-3y = 10 2x…

A: Given linear equations areWe have to write the above linear equations in a form so that we can write…

Q: 10) Write the augmented matrix for each and then se row operations to put each matrix in row-reduced…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: 6 Consider the three by three system of linear equations 2x + Y + + 2y + 2z 5z 12. We will solve…

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Q: What is the surface area of the side of the cylinder? (Hint: Imagine cutting the side of the…

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Q: What are the steps to solving a linear system with matrix equations? i.e. 2s – 5t = 7 –2s + 4 = –6

A: Steps to solve a linear system with matrix equations At first we write the system of equation in…

Q: Use matrices to solve the system.

A: Given: 2x-3y+2z=-3-3x+2y+z=14x+y-3z=4

Q: Consider the following system of linear equations for four real variables x1, x2, X3, X4: x2 + x3 –…

A: x2+x3-2x4=-3x1+2x2-x3=22x1+4x2+x3-3x4=-2x1-4x2-7x3-x4=-1011-212-10241-31-4-7-1x1x2x3x4=-32-2-19Let…

Q: Q2) Solve the following linear system of equations using inverse matrix 3x + y = -1: 2y- 4z = 0 :x+…

A: The system of given linear equations is as follows 3x+y=-12y-4z=0x+2z=1 Rewrite as…

Q: X1 + 3x2 – 2xX3 + X4 = -1 2x1 – 2x2 + x3 – 2x4 = 1 X1 +x2 - 3x3 +x, = 6 ; GAUSS ELIMINATION 3x1 – x2…

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Q: . Solve the system of linear equation as follows: 2x1 + x2 = 5 — з + 2x4 421 + 5x2 — Захз + бх4 -2x1…

A: Here we have to solve the given system of linear equation    2x1+x2-x3+2x4 = 5    4x1+5x2-3x3+6x4 =9…

Q: Solve using augmented matrix methods 6x¹+    3x²=9 -4¹-      2x²=-6

A: Answer...The system have infinite solutions.Solution set is ...X1= (3-t)/2X2=t               here,…

Q: Find the Vector equation and the matrix equation which correspond to the linear system x1 + 2x2 +…

A: Solution : Given system is                                x1 + 2x2 + 4x3     = - 2 x2 + 5x3…

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z= 1 y + 4z = 0 5x + 6y = 1

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Q: Using the matrix notation, write the system of linear equations: 2x1 – x4 = -1 5x1 + x2 = 1 X3 = 1…

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Q: Solve the system  { x     +     y    =    -14} { 4x   -     4y  =    0} { 14x  -   10y  =   -28}…

A: I have written the given system as Augmented matrix and by row operations i have solved the problem

Q: Solve the system of equations {−9x+9y=360 {-5x-4y=-529 by converting to a matrix equation and using…

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Q: 3x1 + x2 + x3 = 3 2x122x3 2x3 = 4 4x12x2 + 2x3 = 7

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Q: 1 -2 1 37 00 00 Lo 0 00 X1 x2 x3 ХА [x₁ x2 x3 X4 From this matrix, we get the equation, x₁2x₂ + x3 +…

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Q: Solve the system 21 X2 103 LC4 = +8 +t 521 -622 +3x3 +324 = 2 -21 +22 +2x3 +324 = 2 4x15x2 +5x3 +6x4…

A: We can solve the system of linear equations by using matrix method very easily. So let them into…

Q: x1 + 2x2 + x3 + 2x4 = 6 2x1 + (5 )x2 + 3x3 + 2x4 = 12 2r1 + (4 )x2 + 2x3 = 8 Write down the…

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Q: sive the following system of linear equations using the Inverse Matrix Method. (-x+3y+7z-9=0…

A: Using elemination method to find inverse of the coefficients matrix.

Q: 2х - Зу %3 2 X - 2y = 3 Solve the linear system. -х + у%3D1 O A) (4, 5) O B) Çözüm yok O C) (5, -4)…

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Q: Q2) Solve the following linear system equations by matrix: 3x + 4y = 2,8y +z 1 and 6x - 5z 7.

A: 2 Given system of linear equations are 3x+4y=28y+z=16x−5z=7.....1 Now, write the system of equations…

Q: 5) Solve the system of equations using a matrix. Describe the geometry of the solutions. x + 3y + 6z…

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Q: y-z = 1 3z = 2 If possible,

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Q: Use inverse matrices to find the solution of the system of equations. 2х 2z = У Зх у + Z=-9 13 х +у…

A: The given system of equation can be written as,

Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix