3 and 4 .Determinants and Matrices
easy

यदि $A \ne O$ और $B \ne O$,   $n × n $ कोटि के आव्यूह इस प्रकार हैं कि $AB = O,$ तो

A

$Det(A) = 0$  or $Det(B) = 0$

B

$Det(A) = 0$ and $Det(B) = 0$

C

$Det(A) = $ $Det(B) \ne 0$

D

${A^{ - 1}} = {B^{ - 1}}$

Solution

$A \ne O$ व $B \ne O$;  $\therefore \,\,AB = 0$

अत: $\det (A) = 0$ या  $\det (B) = 0$.

Standard 12
Mathematics

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