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增广矩阵

系数矩阵. 增广矩阵. 练习：设. 且 B = ( A b ), 求 R ( A ) 及 R ( B ). 解 :. 解存在且 唯一. ( 未知数的个数 ). 解存在且 无穷多. ( 未知数的个数 ). 方程组 无解. 方程组解的判定定理. 有解. （ 1 ）. 无解. （ 2 ）. 解唯一. 无穷多解. n — 未知数的个数 ( A 的列数 ). 练习：判断方程组是否有解. 解：将方程组的增广矩阵化为行阶梯形. 方程组 无解. THANK YOU!.

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增广矩阵

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  1. 系数矩阵 增广矩阵

  2. 练习：设 且 B = ( A b ), 求R(A)及R(B) 解:

  3. 解存在且唯一 (未知数的个数)

  4. 解存在且无穷多 (未知数的个数)

  5. 方程组无解

  6. 方程组解的判定定理 有解 （1） 无解 （2） 解唯一 无穷多解 n — 未知数的个数 (A的列数)

  7. 练习：判断方程组是否有解 解：将方程组的增广矩阵化为行阶梯形

  8. 方程组无解

  9. THANK YOU!

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