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)]`,

1. A²
2. B²
3. AB
4. BA

विकल्प

• (i) and (ii) only

• (ii) and (iii) only

• (ii) and (iv) only

• all of these

Answer 1

(ii) and (iv) only

Explanation:

1. A² is possible to find
2. B² is also possible to find
3. 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.
4. Possible number column of the matrix is equal to the number of the matrix A.