1 Objective Questions |
1 Objective Questions |
2 ------------------- |
2 ------------------- |
3 |
3 |
4 .. A mininum of 8 questions here (along with answers) |
4 .. A mininum of 8 questions here (along with answers) |
5 |
5 |
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6 1. ``matrix(A) * matrix(B)`` and ``array(A) * array(B)`` are the same. |
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7 |
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8 a. True |
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9 #. False |
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10 |
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11 Answer: False |
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12 |
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13 2. ``matrix(A) * array(B)`` does, |
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14 |
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15 a. Element wise multiplication. |
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16 #. Matrix multiplication. |
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17 #. Cannot multiply a matrix object and array object. |
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18 #. Depends on the shape of A and B, if compatible matrix |
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19 multiplication will be done, otherwise element wise |
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20 multiplication. |
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21 |
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22 Answer: Matrix multiplication |
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23 |
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24 3. A and B are two matrix objects. Element wise multiplication in |
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25 matrices are done by, |
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26 |
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27 a. A * B |
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28 #. ``multiply(A, B)`` |
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29 #. ``dot(A, B)`` |
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30 #. ``element_multiply(A,B)`` |
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31 |
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32 Answer: multiply(A, B) |
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33 |
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34 4. ``norm(A)`` method determines the, |
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35 |
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36 a. Frobenius norm |
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37 #. Infinity norm |
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38 #. Induced norm |
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39 #. Schatten norm |
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40 |
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41 Answer: Frobenius norm |
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42 |
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43 5. ``eig(A)[1]`` and ``eigvals(A)`` are the same. |
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44 |
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45 a. True |
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46 #. False |
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47 |
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48 Answer: False |
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49 |
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50 6. The code snippet will work without an error, |
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51 :: |
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52 |
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53 A = matrix([[1, 2, 3, 4], [5, 6, 7, 8]]) |
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54 inv(A) |
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55 |
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56 a. True |
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57 #. False |
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58 |
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59 Answer: False |
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60 |
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61 7. What is the output of the following code, |
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62 :: |
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63 |
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64 x = matrix([[1, 2, 3], ['a', 2, 'c']]) |
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65 identity(x.shape) |
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66 |
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67 a. Will create an identity matrix of shape (2, 3). |
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68 #. ``identity()`` function takes an integer as argument and a tuple |
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69 is passed. |
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70 #. Will return, matrix([[1,0,1],[0,1,0]]) |
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71 #. Will return, matrix([[0,1,0],[0,1,0]]) |
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72 |
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73 Answer: ``identity()`` function takes an integer as argument and a |
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74 tuple is passed. |
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75 |
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76 8. ``norm(A,ord='fro')`` is the same as ``norm(A)`` |
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77 |
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78 a. True |
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79 #. False |
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80 |
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81 Answer: True |
6 |
82 |
7 Larger Questions |
83 Larger Questions |
8 ---------------- |
84 ---------------- |
9 |
85 |
10 .. A minimum of 2 questions here (along with answers) |
86 .. A minimum of 2 questions here (along with answers) |
28 [11, 11, 11, 11, 11, 17, 18, 19, 20, 21]. |
104 [11, 11, 11, 11, 11, 17, 18, 19, 20, 21]. |
29 |
105 |
30 What will be the array after 22 such operations starting with [1, |
106 What will be the array after 22 such operations starting with [1, |
31 2, 3, 4, 5, 6, 7, 8, 9, 10] |
107 2, 3, 4, 5, 6, 7, 8, 9, 10] |
32 |
108 |
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109 2. Find the infinity norm and the determinant of the inverse of the |
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110 product of matrices A and B. |
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111 :: |
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112 |
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113 A = [[ 1, 2, 3, 4], B = [[16, 15, 14, 13], |
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114 [ 5, 6, 7, 8], [12, 11, 10, 9], |
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115 [ 9, 10, 11, 12], [ 8, 7, 6, 5], |
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116 [13, 14, 15, 16]] [ 4, 3, 2, 1]] |