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

पर्याय

• (i) and (ii) only

• (ii) and (iii) only

• (ii) and (iv) only

• all of these

Answer 1

(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.