Elementary Linear Algebra with Applications Howard Anton 9th Ed WILEY
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7. Since each of the three given points must satisfy the equation of the curve, we have the
system of equations
ax2
1 + bx1 + c = y1
ax2
2 + bx2 + c = y2
ax2
3 + bx3 + c = y3
If we consider this to be a system of equations in the three unknowns a, b, and c, the
augmented matrix is clearly the one given in the exercise.
9. The solutions of x1 + kx2 = c are x1 = c kt, x2 = t where t is any real number. If these
satisfy x1 + x2 = d, then c kt + t = d, or ( k)t = d c for all real numbers t. In
particular, if t = 0, then d = c, and if t = 1, then = k.
11. If x y = 3, then 2x 2y = 6. Therefore, the equatio…(투비컨티뉴드 )
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