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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