Question

Let 1) a11 x1 + a12 x2 + a13 x3 = b1 2) a21 x1 +...

Let

1) a11 x1 + a12 x2 + a13 x3 = b1

2) a21 x1 + a22 x 2+ a23 x3 = b2

3) a31 x1 + a32 x 2+ a33 x 3 = b3

SHOW that if det(A) does not equal 0, where det (A) is the determinant of the coefficient matrix, then x2= det(A2)/det(A)

where det (A2) is the determinant obtained by replacing the second column of det (A) by (b1, b2, b3) to the power T.

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