Practice Test B

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

    A=[030−10614−57−78−159−613−20.4114−30]a34

    1. Order: 5×4; a34=6

    2. Order: 4×5; a34=11

    3. Order: 20; a34=−4

    4. Order: 4×5; a34=13

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

    {8x+4y+5z=10−2x+3y+6z=−9−2x8y+6z=4

    1. [ 845−236−286]

    2. [10548−963−2468−2]

    3. [8−2−210438−95664]

    4. [84510−236−9−2864]

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

    [−170−6206508−84]

    Use x, y, and z for the variables.

    1. {x+7y+z=−62x+6z=58y+8z=4

    2. {−x+7y+z=−62x+6y=58x−8y=4

    3. {−x+7y+z=−62x+y+6z=5x+8y−8z=4

    4. {−x+7y=−62x+6z−58y−8z=4

  4. Find values for the variables so that the matrices

    [x+3y+473]and[927z]

    are equal.

    1. x=−6; y=2; z=3

    2. x=6; y=9; z=3

    3. x

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