Which of the following statements is false? - Vidyadip

MCQ

Which of the following statements is false?

A
If $|A|=0$, then $|\operatorname{adj} A|=0$
B
Adjoint of a diagonal matrix of order $3 \times 3$ is a diagonal matrix
C
Product of two upper triangular matrices is a upper triangular matrix
✓
$\operatorname{adj}( AB )=\operatorname{adj}( A ) \operatorname{adj}( B )$

✓

Answer

Correct option: D.

$\operatorname{adj}( AB )=\operatorname{adj}( A ) \operatorname{adj}( B )$

(D) $\operatorname{adj}( AB )=\operatorname{adj}( B ) \operatorname{adj}( A )$

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