This document contains a table with points listed under various math topics like matrices, determinants, and row operations. It also contains questions and short problems related to linear algebra with answers provided. The document acts as a study guide or quiz covering key concepts in linear algebra.

1. 4.1 4.2 4.3 4.5 4.6
4.4
Matrices Multiply Transforming Matrix Row
Determinants
and Data Matrices Matrices Inverses Operations
100pt 100 pt 100 pt 100 pt 100 pt 100 pt
200 pt 200 pt 200 pt 200 pt 200 pt 200 pt
300 pt 300 pt 300 pt 300 pt 300 pt 300 pt
400 pt 400 pt 400 pt 400 pt 400 pt 400 pt
500 pt 500pt 500 pt 500 pt 500 pt 500 pt
600 pt 600pt 600 pt 600 pt 600 pt 600 pt
700 pt 700pt 700 pt 700 pt 700 pt 700 pt

2. What has to be true
about the
dimensions when
adding or
subtracting
matrices?

3. They have to be the
same dimensions

4. What entry is F12?

5. 1

6. What is 2C-A?

7. Not Possible

8. What is
½ (G+H)?

10. Find a, b, c.

11. a= 6
b= 11
c=4

12. Can you multiple
these matrices? If so,
what is the new
dimension?

13. Yes
3x1

14. What is BA?

16. 3
What is T ?

18. What is the
value of x?

19. X= - 8

20. A (-2, -1) B(0,3) C(1, -2)
What is the matrix form
of these points?

22. To flip a matrix over
the y-axis, what
matrix do we use?

24. How would multiplying
by
effect another matrix?

25. It would rotate the
image 90° clockwise

26. What would be the new
coordinates if you
enlarged
A(4,1) B(0,1) C(1/2, -2)
D( -4/3, 3)
by a factor of 3?

27. A’(12,3)
B’(0,3)
C’(3/2, -6)
D’(-4, 9)

28. What translation matrix
represents
#1 g(x)= -f(x)?
#2 f(x)=f(-x)?

29. #1 #2
effects the y’s effects the x’s

30. True or False?
You can only find the
determinant of a square
matrix.

31. True

32. What is the
determinant of
A?

33. 106

34. What is the determinate of A?

35. 164

36. What are the values
of x, y, z?

37. (0,2,1)

38. Need to add. Page 274 #13

39. $3.99

40. True or False?
If A & B are inverses?
AB=BA=

41. False

42. Are
inverses?

43. Yes

44. If is the
coefficient matrix, what is the
matrix I would multiply
by to find the inverse?

46. If has no
inverse, what is the
value of x?

47. X=8

48. What is the inverse of

50. Write A as a scalar
product where each
entry is a whole number

52. Which of the following is
not an elementary row
operation?
1. switching 2 rows
2. switching 2 columns
3. multiplying a row by
nonzero constant

53. 2. switching 2
columns

54. What is the augmented
matrix?

56. What is the augmented
matrix? What are the values
for x & y?

58. What is the augmented
matrix?

60. What would x, y, & z equal if
solved by row reduction?

61. (-1, 4, 2)

62. What is ?

64. What is the error?

65. -7 .. Should be a 5.

66. Tickets Won
Player Red Yellow Blue
Julie 17 9 4
Steve 15 6 2
Ticket Point Values
Tickets Points
Red 5
Yellow 10
Blue 25
Julie and Steve are playing the games at the
arcade. The first table shows the number of
each type of tickets they won. Find the total
number of points they each won.

67. Julie won 275
Steve won 185

68. 2 3
What is JL J ?

70. What effect does
multiplying the
coordinates of a figure
by have?

71. It enlarges the matrix by
2 and rotates it 90°
clockwise

72. To create a quilt pattern, Stephanie
dilates a figure, rotates it 90
counterclockwise, and reflects it across
the y-axis. Which sequence results in
the imagine?
A. scalar multiplication; matrix addition; matrix multiplication
B. matrix addition; matrix multiplications; matrix addition
C. scalar multiplication; matrix multiplication; matrix multiplication
D. matrix multiplication; matrix multiplication; matrix multiplication.

73. C. scalar multiplication;
matrix multiplication; matrix
multiplication

74. If ,
what are the values of a, b, and c ?

75. a=1
b= 11.5
c=3

76. What is the point of
intersection of the lines given
by the equations 2x+3y=8 and
y=x+1?
Solve by using Cramer’s
Rule.

77. x=1 y=2

78. Write the matrix
equation for the
system and solve.

79. (5,4)

80. Write the matrix
equation for the
system and solve.

81. (-1, -2.5, 3.5)

82. Which row reduced matrix (if
any) indicates a dependent
system of equations?

84. Which is the solution to the
system represented by
A. (5, -3) B. (2.5, 3)
C. (2.5, -1) D. (5,1)

85. C. (2.5, -1)

86. FINAL
JEOPARDY

87. Solve using reduced row
echelon form without using a
calculator.

88. C. (2.5, -1)