Calculate the solution of the system of linear equations given in the picture using the Inverse Matrix method.-numerical analysis question

Q: Use an inverse matrix to solve each system of linear equations. (a) x+ 2y - 1 x- 2y - -3 (X, y) =…

A: (a) The given system of equations are x+2y=1x-2y=-3 The equations can be written as in the form of…

Q: Use an inverse matrix to solve each system of linear quations or matrix equation.

A: Now let

Q: Given the matrix 2 -1 1 1 -1 1 1 (a) does the inverse of the matrix exist? Yes (b) if your answer is…

A: The given matrix is 2-11-11-1110. If determinant of any matrix is non zero then inverse of the…

Q: 4. Solve the system of equations using augmented matrix methods. x ₁-2x ₂ = 1 2x₁ - x₂ = 7 ==

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Q: Use the inverse matrix method to determine the solution quantity of the equation the system.

A: Step 1:Step 2:Step 3:

Q: Use an inverse matrix to solve each system of linear equations. (a) x + 2y = 1 x - 2y = -3 (x, y) =…

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Q: 8. a) Using at least two sentences, explain how you would find the inverse of a matrix. Include any…

A: (a) First find the Adjoint matrix.

Q: Use an inverse matrix to solve each system of linear equations. (a) X1 + X2 - 4x3 = 0 %3D X1 - 4x2 +…

A: System of linear equation: Let  Anxn=Bn be the system of linear equations of order n and here An and…

Q: (a) Find a basis for the nullspace of A. Make sure you justify that it is a basis. (b) Find a basis…

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Q: Use the inverse of the coefficient matrix to solve the system of equations. x+2y+3z = 16 2x+3y + 2z…

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Q: (а) х+ 2у = -1 х — 2у %3 3 (х, у) %3D (b) х+ 2у %3D 11 x + х — 2у %3D —5 (х, у) %3D

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Q: 2. Express the system of linear equations as a matrix equation in the form Ax =b. - .x1+ 2x2 + x3-…

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Q: 2. Write the matrix equation 1 -2 -3 1 2 -3 1 3-4 = X4 as a vector equation. You do not need to…

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Q: Show working please

A: Step 1: Step 2: Step 3: Step 4: