6. Consider the following system of four linear equations in five variables. 2x1 + 4x2 – 2x3 + 2x4 + 4xz = 2 X1 + 2x2 – x3 +2x4 = 4 3x1 + 6x2 – 23 + x4 + 9x5 5x1 + 10x2 – 4r3 + 5x4 + 9x5 = 9 %3D (a) Write a vector equation that is equivalent to this linear system, and a matrix equation that is equivalent to this linear system. (b) Determine the solution set of this linear system, and express it in parametric vector form.

Q: Show that the system of linear equations 2x + 3x₂ + x3 = 5 x₁ = 4x₂ + 5x, = 8 - can be written as…

A: To show that the system of linear equations2x1+3x2+x3=5x1-4x2+5x3=8can be written as the matrix…

Q: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: 3. The (2 × 2) of linear equations a1x7 + b1y + + b2y + C1z = dj C22 = d2 a2x is geometrically…

A:

Q: Determine if b [3] 312 1 is a linear combination of a 1 = ------- 0 a2 1, and a3 = 2 6.

A:

Q: Write the following system of linear equations in the form “matrix x column = column": 3x – 2y + z =…

A:

Q: Write the following system as a vector equation involving a linear combination of vectors and solve…

A: The given equations are: 5x1-2x2-x3=24x1+3x3=-1 We need to find the solution of the above system…

Q: Write the system first as a vector equation and then as a matrix equation. 4x1 X2 = 2 6x1 + 7x2 = 3…

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Q: Solve A x= b by finding coefficients for the columns of A which show b lies in their span. When…

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Q: Consider the following two systems of equations: 5x1 + x2 – 3x3 — Зхз — 0 5х1 + X2 — Зхз — - 3x3…

A:

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

A:

Q: Solve the system of linear equations {2x+3y=-15 {4x-3y=10 using the

A:

Q: Use the inverse of 1 -4 -7 -1 -1 2-1 (X₁ X₂ X3) = -4x₁7x₂ + 7x3 -X₁ - X₂ + 5x3 N X₁ + 2x₂x3 = -3 = 3…

A:

Q: Write the system of equations as an augmented matrix -r 4b 250 - 2r + 7b 350 - - 4r + 156 + 150 - ||

A: we have to write the augmented matrix