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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP

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The Campus Bookstore`s inventory of books is:

Hardcover: textbooks, 5260; fiction, 1710; nonfiction, 2330; reference, 1860

Paperback: fiction, 2840; nonfiction, 1480; reference, 2060; textbooks, 1920

 

The College Bookstore`s inventory of books is:

Hardcover: textbooks, 6330; fiction, 2270; nonfiction, 1780; reference, 1970

Paperback: fiction, 3200; nonfiction, 1710; reference, 2750; textbooks, 2010

 

The two companies decide to merge, so now which of the following matrices represents the total inventory of the newly amalgamated company?

 a

  b

c

 

d

 

d

  

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The numbers of three types of bank accounts on January 1 in the Central Bank and its branches are represented by the following matrix:

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The number and types of accounts opened during the first quarter are represented by matrix B, and the number and type of accounts closed during the same period are represented by matrix C.Thus,

  and 

Matrix D will represent the number of each type of account at the end of the first quarter at each location.

Because a new manufacturing plant is opening in the immediate area, it is anticipated that there will be a 10% increase in the number of accounts at each location during the second quarter. Write a matrix E to reflect this anticipated increase.    

 

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Identify the column matrix. What is its transpose?

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Identify the row matrix. What is its transpose?

 

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Identify the square matrix. What is its transpose?

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Find the transpose of the given matrix.

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Solve for , , and in the matrix equation.

-   =   

  

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Simplify

+  -

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Find the size of A,B,C and D

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Find and

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