a) Write an equation involving s, t, and q that will make the augmented matrix correspond to a consistent system. Please explain b)Given that the system is consistent, is it possible that the system has a unique solution? Please Explain. c) Are the column vectors of the coefficient matrix linearly independent?

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Q: Solve all please and thank you

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Q: a Let u = [] and v= [] Show that [ ] is in Span (u, v) for all a and y.

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Q: b. Give examples square matrix, diagonal matrix and scalar matrix. c. Solve the following equation…

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Q: display the augmented matrix for the given system. Use elementary operations on equations to…

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Q: cise B.1. Consider the following system of equations: 5x1 + 3x2 - 2 = 7x3 = 2x1 x, b). x2 + x3 X2 =…

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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: х, — 2х, + 3х, 3D1 2х, — 3х, — 2х, %3D3 2x, х, — х, — 5х, %3D 2

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Q: Consider the system of linear equations a1 + 2x2 + 3r3 = 5, T1 + 4x2 + 6r3 = 7, %3D a1 + 6x2 + 8x3 =…

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Q: Consider the two by two system of linear equations x +3y +2y d) What is the coefficient matrix A? e)…

A: Here we will solve the given system of equations,

Q: 2. (a) Show an augmented matrix for the linear system below. (b) Reduce the matrix to row reduced…

A: The system of equation is given as 0x1+x2+2x3+x7 = 32x2+4x3+x4+x6+2x7 = 83x4+x5+3x6+2x7 =…

Q: 16) Write the system of linear equations represented by the matrix. Solve, using variables x, y, and…

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A: Augmented matrix and solution

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

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A: Since we have to construct 3×4 augmented matrix so we have 3 equations in 3 variables in a system of…

Q: Consider a linear system whose augmented matrix is of the form -1 b | 3 -2 1| 4 ,

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Q: Suppose the coefficient matrix of a system of linear equations has a pivot position in every row.…

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Q: Suppose that a 3x3 matrix A has three columns C1, C2, C3 which span the plane given by x + 2y – 5z =…

A: a) yes the linear system is consistent Since the rank of coefficient matrix is same as the rank of…