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Question
Which of the following can be calculated from the given matrices A = `[(1, 2),(3, 4),(5, 6)]`, B = `[(1, 2, 3),(4, 5, 6),(7, 8, 9)]`,
(i) A2
(ii) B2
(iii) AB
(iv) BA
Options
(i) and (ii) only
(ii) and (iii) only
(ii) and (iv) only
all of these
Solution
(ii) and (iv) only
Explanation;
Hint:
(i) A2 is possible to find
(ii) B2 is also possible to find
(iii) not possible: order of A= (3 × 2) order of B is (3 × 3).
AB is not possible to the number of columns of matrix A ≠ number of rows of the matrix B.
(iv) Possible number column of the matrix is equal to the number of the matrix A.
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