Consider the linear equations x + 2x2 = 4, - 2x1 x = 1. (a) Write...

 

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Consider the linear equations x₁ + 2x2 = 4, - 2x1 x₂ = 1. (a) Write the linear system of equations in the matrix form Ax = 6 as we did in class. (b) Use the determinant to show that A is invertible. (c) Compute A-¹. (d) Find the solution to the linear system using A-¹. Give you answer for X1 and Test that the solution is correct by plugging it into the original system. (e) Now solve the same system using row-reduction. x2 clearly- Consider the linear equations x₁ + 2x2 = 4, - 2x1 x₂ = 1. (a) Write the linear system of equations in the matrix form Ax = 6 as we did in class. (b) Use the determinant to show that A is invertible. (c) Compute A-¹. (d) Find the solution to the linear system using A-¹. Give you answer for X1 and Test that the solution is correct by plugging it into the original system. (e) Now solve the same system using row-reduction. x2 clearly-