Practice Test A

  1. Give the order of the matrix and the value of the designated entry of the matrix.

    [3−1−302417503281096−4003] a43

  2. Write an augmented matrix for the system of equations.

    {7x−3y+9z=5−2x+4y+3z=−128x−5y+z=−9

  3. Write the system of linear equations represented by the augmented matrix

    [40−1−313092758].

    Use x, y, and z for the variables.

  4. Find values for the variables so that the matrices

    [x−5y+3z9]=[51309]

    are equal.

In Problems 5 and 6, solve the system of equations by using matrices.

  1. {x+2y+z=6x+y−z=72x−y+2z=−3

  2. {2x+y−4z=6−x+3y−z=−22x−6y+2z=4

  3. Let A=[5−24076] and B=[−3−10−8−46]. Find A−B.

In Problems 8 and 9, find the product AB or state that AB is not defined.

  1. A=[3−72],B=[014]

  2. A=[−412−903],B=[287−5]

For Problems 10–13, let

A=[−31

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