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? |
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2. | Which of the following is impossible? |
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3. | What is an identity matrix and why is it called an identity matrix? |
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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? |
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5. | Which of the following matrix operations is commutative? |
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6. | Which of the following is not a square matrix? |
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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 x_{2,3} and x_{1,4} represent? Give your answer in the form x_{2,3}, x_{1,4}. |
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. |