2 points) (a) Find the inverse of the matrix -1 -2 5 A = 1 3 -9 1 -6 -2 3 A-1 = -3 1 -4 -1 -1 p) Use the answer from part (a) to solve the linear system -x1 2x2 + 5x3 X1 3x2 9x3 3 %D X1 2x2 6x3 -4 - X2 X3 I| || || I + +

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

A: Find the inverse of the matrix

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. 2x₁ -…

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Q: Perform the row operations on the given augmented matrix

A:

Q: Consider the following system of equations. 2x2 + 7x= 44 -2x, + x2 + 4x 13 6x - 5x + 8x- 55 3x (a)…

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Q: Q4C. What system of linear equations is represented by the augmented matrix? 2 2 -5 -6 2x₁ - 5x2 = 3…

A: Given, The augmented matrix 2-52-6-3-1   We have to find the system of linear equations is…

Q: Use an inverse matrix to solve system of linear equations.

A: Find the inverse of the matrix. Augment the matrix A with the identity matrix I and evaluate the…

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: 5. Solve the system of equations 3x, - 2x2 + 2.xs = 10 *1 + 2x2 – 3xs = = -1 4x1 + x2 + 2x3 = 3 (a)…

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Q: 1 2 -4 -8 (b) -2 -4, 8 16 This set is

A:

Q: -

A: We will solve the matrix.

Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 -…

A: Dear student you have asked multiple questions. As per our policy your first question will be…

Q: Use an inverse atrix to (a) x₁ + 2x₂ + x3 = -2 X1 + 2x2x3 = -4 X1 2x₂ + x3 = 2 - (X1, X2, X3) = (b)…

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

A:

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: 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: 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: onsider the following system of equations. 3x1  −  2x2  +  7x3  =  2 −2x1  +  x2  +  4x3  =  6 6x1…

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Q: On the augmented matrix A below, perform all three row operations in the order given, ((a) followed…

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Q: Consider the following system of equations. 2x1 + X2 + *3 = b1 X₁ - 3x₂ + 4x3 = ₂ -X1 + x3 = 3 (a)…

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Q: Express this system of equations in matrix form. Qai Qs1 Qai Qa2 a1 – bịP1 + eP2 = -c1 + d¡P1 Qs1 |…

A: First we simplify the equations and then find matrix form.

Q: Use an inverse matrix to solve each system of linear equations. (a) x₁ + x₂ - 2x3 = 0 X1-2x2 + x3 =…

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Q: Use an inverse matrix to solve each system of linear equations. (a) x1 + X2 - 2x3 = X3 = X1 - X2 -…

A: To solve the system of equations using matrix inversion method

Q: Q4D. What system of linear equations is represented by the augmented matrix? [ 2 2 5 6 2x1 + 5x2 = 3…

A: Please find attached file

Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

A:

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

A: Topic:- matrix

Q: (a) R₂ (b) R3 = 4r₁ + r3 (c) R3 = : -4r₁ + r₂ = = 1r₂ +r3 A = 1 4 -4 3 5 6 13 -5 -1 1 -13 1

A: