Question: please answer the questions below they are for linear algebra 1 E. . A matrix vector product is A linear system is consistent if and

please answer the questions below they are for linear algebra

1 E. . A matrix vector product is A linear system is consistent if and only ifthe last column of the augmented matrix does not contain a Let A he an m X n matrix. Then the matrix equation Ax hr has a solution if and only if the vector h is a . If a linear system has at least one solution then we say that the the system is . The set of all linear combinations of aset of vectors is called the . Let A be an m X n matrix such that Ax _ [I has only the trivial solution. Then the columns of the matrix A are

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