info@clay6.com
logo

Ask Questions, Get Answers

X
 
Questions  >>  CBSE XII  >>  Math  >>  Determinants
Answer
Comment
Share
Q)

True or False: If the value of a third order determinant is 12,then the value of the determinant formed by replacing each element by its co-factor will be 144.

1 Answer

Comment
A)
Need homework help? Click here.
Toolbox:
  • $|adj (A)|=|A|^{n-1}$
Given: The value of a third order determinant is 12.
The determinant formed by replacing each element by its cofactor is |adj A|.
From the information in the toolbox we know,
$|adj (A)|=|A|^{n-1}$
Since it is a 3 order determinant n=3.
Therefore $|adj (A)|=|A|^2$
But |A|=12.
$|adj (A)|=12^2=144$
Hence True.
Home Ask Homework Questions
...