For suitable matrices A, B, the false statement is ___________ - Vidyadip

MCQ

For suitable matrices A, B, the false statement is ___________

✓
$(A B)^{\top}=A^{\top} B^{\top}$
B
$\left(A^{\top}\right)^{\top}=A$
C
$(A-B)^{\top}=A^{\top}-B^{\top}$
D
$(A+B)^{\top}=A^{\top}+B^{\top}$

✓

Answer

Correct option: A.

$(A B)^{\top}=A^{\top} B^{\top}$

$(A B)^{\top}=A^{\top} B^{\top}$

Hint:

$(A B)^{\top}=B^{\top} A^{\top}$

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