Question: Consider the Euclidean space in two dimensions E2 and the following system of equations 4x1 + x2 = 4 2x1 + 3x2 = 5 a)

Consider the Euclidean space in two dimensions E2 and the following system of equations

−4x1 + x2 = 4 2x1 + 3x2 = 5

a) Using graphical methods, solve (twice) this system of equations by reading the system by ROW and by COLUMN.

b) Using the pivot method, solve the system of equations. Exhibit the solution, the basis, and the inverse of the basis.

c) Verify that B−1B = I.

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