Matrices Self Study Quiz

10 Questions  I  By Proprofsquizschool
Quiz on the Self Study topic of Matrices done by Ong Tiet Ho, Hwa Chong Institution, 3S422 as Part III of the June Self Study Modules. Topics tested include the basics of matrices, addition, subtraction and multiplication of matrices.

  
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1.  Farmer A had 4 ducks, 3 chickens and 2 cows while Farmer B had 9 cows, 4 pigs and 7 chickens. A matrix can be formed to represent the above data. Which one of the following would be a possible order of the matrix?
A.
B.
C.
D.
2.  Which of the following is impossible?
A.
B.
C.
D.
3.  What is an identity matrix and why is it called an identity matrix?
A.
B.
C.
D.
4.        (9  0  1  3  4)           (0  7  3  0)A = (5  7  8  2  4)           (1  3  6  2)      (3  4  2  7  0)     B = (7  8  9  2)                                    (7  4  3  8)                                    (8  3  2  5)Which of the following is possible?
A.
B.
C.
D.
5.  Which of the following matrix operations is commutative?
A.
B.
C.
D.
6.  Which of the following is not a square matrix?
A.
B.
C.
D.
7.        (8  3  1  2)            (7  8  2   5)A = (9  3  4  8)     B = (4  8  2  11)     X = A + B      (5  6  7  0)            (3  7  1   9)What do x2,3 and x1,4 represent? Give your answer in the form x2,3, x1,4.
8.  For addition to be possible, two matrices must have the same __________. For multiplication to be possible, the number of __________ in the first matrix must be the same as the number of __________ in the second matrix. The resultant matrix would have the number of __________ the first matrix has, and the number of ___________ the second matrix has.Fill in the above blanks, with a comma and a space in between succeding answers.
9.  A = 3 (1  2  8)     B = (5) (7  4  9)Evaluate A and B and present your answers as A, B with two spacings between each entry in each matrix.
10.  A = (4  9  8  2  1)           (2)                                    (9)                              B = (2)                                    (3)                                    (4)Evaluate AB and BA and present your answers as AB, BA.
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