Let A = {[{a_{ij}}]_{n × n}} be a square matrix and let {c_{ij}} be cofactor of {a_{ij}} in A . If

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3 and 4 .Determinants and Matrices

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Let $A = {[{a_{ij}}]_{n \times n}}$ be a square matrix and let ${c_{ij}}$ be cofactor of ${a_{ij}}$ in $A$. If $C = [{c_{ij}}]$ ,then

A

$|C|\, = \,|A|$

B

$|C|\, = \,|A{|^{n - 1}}$

C

$|C|\, = \,|A{|^{n - 2}}$

D

None of these

Solution

(b)It is a fundamental concept

Standard 12

Mathematics

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