First write the given homogeneous system in the matrix form Ax = 0. Then find the...

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First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector form. X₁ - 8x3 + 5x4 = 0 x2 + 2x3 9x4 = 0 10 -8 5 01 2-9 X₁ X2 X3 || X4 (Simplify your answers.) Find the solution in vector form. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. There is a unique solution, x = O B. There are infinitely many solutions of the form x = sx₁, where s is an arbitrary parameter and x₁ = OC. There are infinitely many solutions of the form x = sx₁ + x2, where s and t are arbitrary parameters and {X1 X2} = {} (Use a comma to separate vectors as needed.) O D. There is no solution. First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector form. X₁ - 8x3 + 5x4 = 0 x2 + 2x3 9x4 = 0 10 -8 5 01 2-9 X₁ X2 X3 || X4 (Simplify your answers.) Find the solution in vector form. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. There is a unique solution, x = O B. There are infinitely many solutions of the form x = sx₁, where s is an arbitrary parameter and x₁ = OC. There are infinitely many solutions of the form x = sx₁ + x2, where s and t are arbitrary parameters and {X1 X2} = {} (Use a comma to separate vectors as needed.) O D. There is no solution.

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