JAMIA 2022 — Mathematics PYQ
JAMIA | Mathematics | 2022If the matrix AB is zero, then
Choose the correct answer:
- A.
It is not necessary that either A =0 or B = 0
(Correct Answer) - B.
A = 0 or B = 0
- C.
A = 0 and B = 0
- D.
None of these
It is not necessary that either A =0 or B = 0
Explanation
Explanation:
Let A=[00amp;2amp;0] and B=[10amp;0amp;0]
Multiplying the two matrices:
⟹AB=[00amp;2amp;0][10amp;0amp;0]=[00amp;0amp;0]
So, we can say that the product of two matrices can be the null matrix while neither of them is a null matrix.
Hence, if the matrix AB is zero, then it is not necessary that either A=O or, B=O.
Explanation
Explanation:
Let A=[00amp;2amp;0] and B=[10amp;0amp;0]
Multiplying the two matrices:
⟹AB=[00amp;2amp;0][10amp;0amp;0]=[00amp;0amp;0]
So, we can say that the product of two matrices can be the null matrix while neither of them is a null matrix.
Hence, if the matrix AB is zero, then it is not necessary that either A=O or, B=O.