Given:  The linear system of equation is  2z + y − x = 5 2x + 3y + 4z= -1 4x +  y= -11 To determine: The inverse of the matrix by Gauss-Jordan  elimination and show that the coefficient matrix, A, is equal to P.D.P-1, its eigen decomposed version.

Q: 3 -3 -8 A = 3 -4 -12 1 -1 3.

A: Find the inverse of the matrix

Q: Given X1 + x2 + x3 = 6 2x1 + x2 + x3 = 7 X1 + 3x2 + x3 = 10 Use Gaussian Elimination to find the…

A: The coefficient matrix for the given system of equations is: A=111211131 The constant matrix is:…

Q: Use Invere matrix method to solve the following equations: -ut-1 2r - 2y + 2: = 2 -3r +3y +32 =-3

A: Explanation of the solution is given below...

Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: Let A be a 4 x 5 matrix. If a₁, a2, and a4 are linearly × independent and a3 = a₁ + 3a2, a5 U = = -…

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Q: Solve using Gauss Jordan Elimination on an augmented matrix: x+y+z=2 -x+3y+2z=8 x+y=4

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

Q: 6 Consider the matrices A = ( = (³₁ 5), B = ( 1 2 ) and C = (%) 6 i) Find the matrix product AB. ii)…

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

A: The given set of equations are…

Q: Q5) ẩ.ẩ jolve the eẩqẩuatẩionj; 2x²y dy/ldx + 2xy' +1= 0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Let A = - 3 7 6-1 -3 -6 and B= 0-2 9-6 Solve the matrix equation - 3X + 4A = B for X. -4 -1 X =…

A: To find matrix X

Q: Use the inverse matrix to solve the following linear system. (2x + 3y + z = 4 (S):{3x + 3y + z = 8…

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Q: Re-order the equations, so that the coefficient matrix is diagonally dominant.

A: Writing Co-efficient matrix of given system of equations: [0 1 0 4 -2] [1 0 3 -1 0] [4 0 1 0 1] [2…

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

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Q: Q.2) Use Inverse matrix method to solve the following equations: *- y +z = 1 2r – 2y + 2: = 2 -3r +…

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Q: [1 3 A = 0 2 2 2 l2 1 1.

A: given matrix is                                                A=131022211 we have to find inverse…

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

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Q: Calculate the inverse of the following matrix using the reduced row echelon form technique: A = 2 0…

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Q: For the two 3 x 3 matrices A and B with det(A) = -3 and det(B) = 2, Select one: O True O False det…

A: Given :mx+3y-z=m    2x+z=1              -2x-3y+mz=0  detA=-3detB=2

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

A:

Q: Q.2) Use Inverse matrix method to solve the following equations: x - y + 2 = 1 2.x – 2y – 2z = 2…

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Q: Consider the matrix -2 0 -3 -1 -1 1 0 -2 B = A = −1 -2 -2 -3 2 3 Perform the following row…

A: Solution

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: :Use inverse matsix (by Gauss Jordan an Elimination) to solve the syálem 2x + By +3 = - 1 %3D 2x…

A: Consider the given equations 2x+3y+z=-13x+3y+z=12x+4y+z=-2 The given equation can be written as AX=B…

Q: Q2: Find the inverse of the matrix M =

A: The given matrix is: M=-312-1 Formula: The inverse of the matrix A=abcd is: A-1=1ad-bcd-b-ca By the…