This exercise completes the derivation of Cramers rule
Chapter 10, Problem 68(choose chapter or problem)
This exercise completes the derivation of Cramers rule given in the text. Using the same notation, and assuming D 0, we need to show that the values x Dx /D, y Dy /D, and z Dz /D satisfy the equations in (1) on page 793. We will show that these values satisfy the first equation in (1), the verification for the other equations being entirely similar. (a) Check that substituting the values x Dx /D, y Dy /D, and z Dz /D in the first equation of (1) yields an equation equivalent to a1Dx b1Dy c1Dz d1D 0(b) Show that the equation in part (a) can be written(c) Show that the equation in part (b) can be written(d) Now explain why the equation in (c) indeed holds.
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