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For questions 1-10 complete each sentence with the correct term or phrase. 1. A

ID: 2262133 • Letter: F

Question

For questions 1-10 complete each sentence with the correct term or phrase. 1. A matrix vector product is 2. Matrix multiplication corresponds to 3. A linear system which does not have a solution is called 4. A linear system is consistent if and only if the last column of the augmented matrix does not contain a 5. A linear system has exactly one solution. Then the solution is 6. Let A be an 1n × n matrix such that Ax = 0 has only the trivial solution. Then the columns of A are linearly 7. Let A be an m × n matrix. Then the matrix equation Ax b has a solution if and only if the vector b is a 8. A set for which at least one vector in the set is the linear combination of the other vectors of the set is 9. A set for which no vector is the linear combination of the other vectors of the set is 10. A linear combination consisting of the columns of a matrix using the components of a vector as weights is a

Explanation / Answer

1 ) A matrix vector product is closely related to dot product.

2 ) Matrix multiplication corresponds to composition of linear transformations.

3 ) A linear system which does not have a solution is called inconsistent.

4 ) A linear system is consistent if and only if the last column of argumented matrix does not contain a pivot column.

5 ) A linear system has exactly one solution.Then the solution is called unique solution.

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