1.   Find 3
    A. B.
    C. D.
    Hint

  2.   Write the translation matrix for and its image
   
    A. B.
    C. D.
    Hint

  3.   Which product is not defined?
    A.
    B. [11 4 -3]
    C.
    D. [16 12 5]
    Hint

  4.   Find the determinant of
    A. -21 B. 0
    C. -16 D. -11
    Hint

  5.   What is the first step in solving the matrix equation
    A. Multiply each side of the matrix equation by
    B. Multiply each side of the matrix equation by the identity matrix.
    C. Divide each side of the matrix equation by
    D. Find the inverse of
    Hint

  6.   The matrix is an example of which of the following matrices?
    A. column matrix B. row matrix
    C. square matrix D. all of the above
    Hint

  7.   Which of the following matrices is equal to
    A.
    B.
    C.
    D.
    Hint

  8.   Find AB if and
    A. B.
    C. D.
    Hint

  9.   Given that and use the fact that to find AB + AC.
    A. B.
    C. D.
    Hint

  10.   What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis?
    A. H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5)
    B. H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5)
    C. H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5)
    D. H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5)
    Hint

  11.   Evaluate
    A. 38 B. –128
    C. –38 D. 128
    Hint

  12.   Solve the system –2x – 4y = 7, 3x + 5y = 9.
    A. B. (71, –39)
    C. D.
    Hint

  13.   Solve the system 3x + 2yz = –1, –2x + –3y + 2z = 5, 4xy + 3z = 11.
    A. (1, 4, –3) B. (1, –1, 2)
    C. (2, 4, –2) D. (2, –1, 2)
    Hint

  14.   Determine whether the pair of matrices are inverses.
    A. yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix
    B. no, because fractions cannot be a part of an inverse
    C. no, because A · B I
    D. yes, because A · B = I
    Hint

  15.   In order for a matrix to have an inverse, what must be true?
    A. adbc 1 B. adbc = 1
    C. adbc 0 D. adbc = 0
    Hint

  16.   Solve the system of equations 7x – 14y =4, 3x – 6y =17.
    A. no unique solution B. (2, 1)
    C. infinite solutions D. (3, –2)
    Hint



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