Question

If A is a 3 x 5 matrix and B is a 5 x 2 matrix. then orders of AB and BA are
1. 3 x 2 and BA not defined
2. 3 x 2 and 5 x 5
3. 5 x 5 and 3 x 2
4. None of the above
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Answer 1

Answer:

2. 23 0 x x. +. = or. (2 23) 0. x x+. = ⇒ x = 0, x = 23. 2. −. Example 5 If A is 3 × 3 invertible matrix, then show that for any scalar k (non- zero),.