WBJEE · Maths · Matrices
If \(\mathrm{A}\) and \(\mathrm{B}\) are two matrices such that \(\mathrm{A}+\mathrm{B}\) and \(\mathrm{AB}\) are both defined, then
- A A and \(B\) can be any matrices
- B A, B are square matrices not necessarily of the same order
- C A, B are square matrices of the same order
- D Number of columns of \(A=\) number of rows of \(B\)
Answer & Solution
Correct Answer
(C) A, B are square matrices of the same order
Step-by-step Solution
Detailed explanation
Hints : Addition is defined if order of \(A\) is equal to order of \(B\) A B \(\mathrm{nxm} \mathrm{nxm}\) is defined if \(\mathrm{m}=\mathrm{n}\) \(\Rightarrow A, B\) are square matrices of same order
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