Q1. (a) Determine the inverse of the matrix: 2 3 -2 3 5 -4 \1 2 -3/ Hence, use the inverse to solve the simultaneous equations: 2x + 3y – 2z = 4 3x + 5y - 4z = 10 x + 2y - 3z = 9

Q: Solve for x, y, z, and w in the matrix equation

A: Given equation can be written as Since, the matrices are equal , so their corresponding elements…

Q: QI (b): Solve the Matrix equation Ax = b, by using elementary row operations where 2 4 -6] A = 1 3.b…

A: The matrix equation Ax= b, where  A= 2  4-60   1   3-3-5   7 , b=25-3 Solution: The matrix form is…

Q: b- Solve the following system of equations by using the inverse matrix method x + y – 6 = -z 3x + 3y…

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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: Solve the following using the inverse matrix method: 2x - y + 3z = 9 x+y+z = 6 x-y+z=2

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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: 2y+3x+3z=18 x-4z=1 x-y+4z=9 -R+E+G=1 R-G+3E=18 5E+R-6G=7 Solve the above equations using the…

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Q: -

A: We will solve the matrix.

Q: Solve the matrix equation AX = B for X 3 - 2 -1] - 2 A = - 3 - 2 B = 14 %D - - | 2 2 1 4 X =

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Q: Solve the following simultaneous equations, using matrices. + 7y = 9

A: The given question is taken from the Matrix in which we have to find the valye of the x and y from…

Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: Q3) Solve the following set of linear equations by the method of matrix inverse: 2x1 -X2=-1 X1 +X3=1…

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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: h) Suppose we have the system of 4x – 3y = 5 and 5x + 3y = 4. You found the inverse of matrix A…

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Q: The solution is: x1 = x2 -9 A=[53], ²= [2] 2 and b = —

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Q: given inverse of the coefficient matrix to solve the following syste 7x, +2x2 = -8 1 1 A-1= 7 5x1 -…

A: In this question, the concept of matrix multiplication is applied. Matrix A matrix is a rectangular…

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

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Q: What is the inverse of the matrix:  [2 1] [3 4]

A: INVERSE OF A MATRIX EXISTS IFF ITS DETERMINANT IS NON ZERO OR MATRIX IS INVERTIABLE. AND THEN

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

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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: 2х1 — бх2 — Хз -3x1 – 5x2 8х1 — 2х3 -38 -34 -20 IL || ||

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Q: Х1 + 2х2 + Зx3 — —7 2x1 – 3x2 – 5x3 = 9 — 6х1 — 8х2 + Хз 3— 22

A: We will find out the required solution of given system of equations.

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: Solve for X in the equation, given the following matrices. 2X = 2A - B X = 8 1 ^-----] A = -1 0 and…

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Q: Solve the matrix equation AX = B for X -5 -4] -61-0 B = A = X =

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Q: Write the given system of equations as a matrix equation and solve by using inverses. X₁ - 2x₂ = K₁…

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Q: 2х + Зу + 2z %3D -3 x + y+ z= 0 -х + 2у -3z %3D-1 X +

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