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In the previous question we showed that

Which of the following augmented matrices represents an inconsistent system of linear equations?    A)

Let A be a 3 x 3 matrix and

Let A be an 5 x 4 matrix.  Choose the best answer from the options given to answer the question.   The columns of the matrix A are linearly independent if and only if A has how many pivots?    A) The matrix A will have to have 4 pivot columns.  This would mean that has only the trivial solution as there are no free variables.    B) The matrix A will have to have 4 pivot rows.  Then all matrix equations will have at least one solution so the columns are linearly independent.   C) The matrix A must have 5 pivot columns.  This is because any column will be a pivot column if linearly independent.  D ) The matrix A must have 5 pivot rows.  Of there is a pivot in every row, then there are no free variables when solving   .  So the columns will be linearly independent.  Of the choices, [1] is the most appropriate.  

Match the following branches of the U.S. government with their respective roles:

A source has authority when a writer has the expertise to write about the subject. Always try to determine if the author is a recognized authority or simply a person who decided to write about a particular topic. 

Choose the correct word.  The dog buried its / it’s bone.

Usin exact language from a source, BUT failing to use quotation marks even if you include a citation is considered plagiarism. 

It is valid when analyzing the writer to consider the writer’s background and any preconceptions about the subject that the writer might seem to have. 

When paraphrasing, you give the source’s main ideas in detail, but you use your own words.