作业帮线性代数 基础题 主要是看不懂题目啊.
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线性代数 基础题 主要是看不懂题目啊.
A set of m linear equations in n unknowns has the m*n matrix A of coefficients
and the m×l (column)vector h^T of right-hand sides.(Later We shall write this as Ax^T=h^T)
In each of cases (a) to (d) below,ansWer as many as possible of the following questions.
Can the situation occur?
If so,is the set of equations consistent?
If so,how many parameters has the solution?
a.m=9 n=r(A)=r(A:h^T)=4
b.m=n=7 r(A)=5 r(A:h^T)=6
c.m=5 n=7 r(A)=5 r(A:h^T)=3
d.m=3 n=4 r(A)=r(A:h^T)=5
A set of m linear equations in n unknowns has the m*n matrix A of coefficients
and the m×l (column)vector h^T of right-hand sides.(Later We shall write this as Ax^T=h^T)
In each of cases (a) to (d) below,ansWer as many as possible of the following questions.
Can the situation occur?
If so,is the set of equations consistent?
If so,how many parameters has the solution?
a.m=9 n=r(A)=r(A:h^T)=4
b.m=n=7 r(A)=5 r(A:h^T)=6
c.m=5 n=7 r(A)=5 r(A:h^T)=3
d.m=3 n=4 r(A)=r(A:h^T)=5
a. 方程组有唯一解
b. 方程组无解
c. 无解
d. 这个不可能, 矩阵的秩不超过其行数与列数
再问： 您好 感谢 帮助 d小问能看懂 理解 还想问下 a b c 小问中 a为何有唯一解 列数与秩相同？ b c为何无解呢 麻烦了 麻烦啦 谢谢
b. 方程组无解
c. 无解
d. 这个不可能, 矩阵的秩不超过其行数与列数
再问： 您好 感谢 帮助 d小问能看懂 理解 还想问下 a b c 小问中 a为何有唯一解 列数与秩相同？ b c为何无解呢 麻烦了 麻烦啦 谢谢