Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 %3D 1 -2 1 3 1 The REF of the augmented matrix is: 0 1 1 2 1 OTrue OFalse x1 and x4 are the leading variables, while x2 and x3 are the free variables OTrue OFalse The solution set is { (5 -3α, α, 2- α, 0 ), να ER) OTrue OFalse

Q: Convert the augmented matrix 4 -1 -4 - -1 -4 0 5-2 to the equivalent linear system. Use x1 and x2 to…

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Q: Consider the matrix equation over the set of real numbers given by ³22169-13 20] 2 [²3 3b -b+2c] (a)…

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Q: If A is a 4 X 2 matrix, explain why the rows of A must be linearly dependent.

A: If A is a 4 x 2 matrix, then it has 4 rows and 2 columns. Each row can be thought of as a vector in…

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2х1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 The REF…

A: See the attachment

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: Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +3х3 +x4 10 Bring the…

A: The given system of linear equation is  x1-x2+x3+x4=3-2x1+x2-2x3=-73x1-2x2+3x3+x4=10 ............(1)

Q: 1 -3 5 Let A = -3 -4 1 2 6 1 -1 -8 1 with augmented matrix [A]b] is always consistent. How many…

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Q: Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 %3D -1 -3x1 +7x2 -2x3 -10x4 1…

A: The system of linear equations…

Q: determine of matrix 4u -1 -1 2v

A: d is correct option

Q: Consider the following linear system: 2x1 + 3x2 – 3x3 + x4 + x5 = 7 + 2x3 + 3x5 = -2 – 4x4 3x1 2x1 +…

A: Matrix: a) The coefficient matrix is: A=23-31130203230-4000111

Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: 2c1 + 2c2 + 2c3 =0, 2c1              - 2c3 =2,c1 -   c2 +    c3 =  6 Write in the form AC = B with 3…

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Q: Find the augmented matrix of the linear system. 2x₁ + 3x₂x3 = 2 X1 + x3 = 0 -X₁ + 3x₂ - 2x3 = 0 2 1…

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Q: Reduce the matrix 4 J 3 -3 -2 A = -1 -2 3 9. 2 -1 -2 -2 to reduced row-echelon form.

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Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

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Q: -x+2y-2z 5 3x-3y+5z = -6 -2x+3y-4z 6 Write the augmented matrix:

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Q: What is the argumented matrix of the two systems? 2x1+x2+2x3=2 5x1+9x2-8x3=4

A: The given equation is,