Write the solution set of the given homogeneous system in parametric vector form. 4x₁ +4x2+8x30 - 12x₁-12x₂-24x3 = 0 - 4x2 + 8x3 = 0 X₁ where the solution set is x = x₂ X3 X=X3 (Type an integer or simplified fraction for each matrix element.)

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: The vector (0, -2, -2) is a solution of the linear system: X1 + 3x2 – 3x3 = 3 5x1 + 13x2 – 13x3 = 13…

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Q: Write the solution set of the given homogeneous system in parametric vector form. 4x₁ + 4x2 + 8x3 =…

A: The system of given equations is        4x1 + 4x2 + 8x3 = 0  . . . . . . . . . . . . (1)   -12x1 -…

Q: Consider the system 2x + y = -5 х - 2у-3z%3 2 - 2x + y + 2z = 3 . Use the augmented matrix form of…

A: first we define augmented matrix then doing row operation covert into canonical form

Q: Give the parametric vector form of the general solution of the following system of linear equations:…

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Q: Write the solution set of the given homogeneous system in parametric vector form. 4x1 + 4x2 +8x3 = 0…

A: Step 1: Step 2: Step 3: Step 4:

Q: Write the solution set of the given homogeneous system in parametric vector form. 2x₁ + 2x₂ + 4x3 =…

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Q: Write the system -7y -6z 2 11x +9y -5 10x -4y +4z in matrix form.

A: Fro the given problem: -7y-6z=211x+9y=-510x-4y+4z=3 So, We can also write as:…

Q: Write the system of linear equations 9x – 7y + 5z 3 — 8х — 1у — 92 -2 — бх + 1у — 52 2 as a matrix…

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Q: Write the following linear system in matrix form: 2x1 + 3x2 = 0 3x2 + x3 = 0 2x1 − x2 = 0

A: Given system of linear equations : 2x1 + 3x2 = 03x2 + x3 = 02x1 − x2 = 0

Q: 1 0 2 -3 87 0 0 0 0 0 0 0 0 0 0 A = 3 Variables: x, y, z, w. 2100

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

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

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Q: Write the solution set of the given homogeneous system in parametric vector form. 3x₁ + 3x2 + 6x3 =…

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Q: H 2 406 -2 0 -3 2 16 A|-1 1

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Q: Write the solution set of the given homogeneous system in parametric vector form. 4x₁ +4x2+8X3 = 0 -…

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Q: Let A = 1 -7 2 2 -12 -3 1 11 -5 1 3 -1

A: Given - To find - Solve the homogeneous matrix equation  by writing the solution x as the span of…

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: Write the solution set of the given homogeneous system in parametric vector form. 3x₁ + 3x2 + 6x3 =…

A: Given system of linear equations:We have to write the solution set of the given homogeneous system…

Q: Write the solution set of the given homogeneous system in parametric vector form. 4x₁ +4x2+8x3 = 0 =…

A:

Q: Determine which of the points (-3, 1, -1), (5, 6, 4), and (6,-3, 3) satisfy the linear system 9x1…

A: Introduction: A collection of equations can be expressed using an expanded vector. Each entry in an…

Q: Give the parametric vector form of the general solution of the following system of equations: -1…

A: x1-5x2-2x3      -4x5-4x6  =-1                   -x4+4x5-3x6  =     8x1-5x2               -6x5 -6x5=…

Q: Write the solution set of the given homogeneous system in parametric vector form. 2x₁ + 2x₂ + 4x3 =…

A:

Q: The augmented matrix for a linear system is [1 -3 -6 0 1 0 0 1 10 a. Is the matrix in reduced row…

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Q: Write the solution set of the given homogeneous system in parametric vector form. 2x₁ + 2x2 + 4x3 =…

A: I have explained everything with in the solution. Please go through.

Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as…

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Q: 3x₁ + 3x₂ + 6x3 = 12 - 6x₁ - 6x₂ - 12x3 = -24 - 7x2-21x3 = 14 3x₁ + 3x₂ + 6x3 = 0 - 6x₁ - 6x2 - 12x3…

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A: Step 1: Reference: Linear Algebra

Q: Write the system first as a vector equation and then as a matrix equation. 10x1 - X2 = 3 7x1 + 5x, =…

A: Given system of equation is: 10x1−x2=37x1+5x2=49x1−x2=1

Q: Write the augmented matrix form: a + 2b +c + d = 1 a - af – b + c - cf + 3d – df + ef2 +ef -2e – f²…

A: Given: The system of equations, a+2b+c+d=1 a-af-b+c-cf+3d-df+ef2+ef-2e-f2=-1 2a+4b+3c+3d-f=3…

Q: Consider the following system of linear equations for four real variables x1, x2, x3, X4: X2 + x3 –…

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Q: Write the system in matrix form. 61-E1 2 2y -2x - 4y +4z = 11 = - 3 -5 7x +9y +10z =

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Q: m of linear equations x +y = 3z = 2 2x + 3y + 2 = 0 3x + 4y = 2 =1 using 23 the

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