E-Storedeterminantssss
5 Aug 2007 01:33:00 IST
determinantssss
Hiee
some properties of determinants
* If rows and coloumns of a determinant are interchanged , the value of determinant remains unchanged , i.e
l A' l = l A l
*If any 2 rows (or columns) of a det. are interchanged , the value of det. remains numerically same but the sign changes
*If any 2 rows or columns of a det. are identical , its value is zero
*If elements of any row (or column) of a det. are each multiplied by a scalar K , new det. is K tyms the old det.
*If the elements of a row (or column) of a det. are fixed multiples of the corresponding elements of another row (or column) , the det. is zero
*If any row or column of a det. consists of elements wich are sum of 2 terms each , then the det. can be expressed as the sum of 2 det. of the same order
*If to the each row (or column) of a det. is added K tyms , the corresponding elements of any other row (or column) then the new det. is = to the old det.
*If A & B be the 2 square matrices of the same order....then det.(AB) = det.(A) x det.(B)
*Det of a skew -symmetric matrix of odd order is always zero
*If the det. becomes zero wen we put X = # , , (X-#) IS THE factor of the det.
*Area of a triangle having vertices at (x1 , y1) , (x2 , y2) , (x3 , y3) is given by
1/2 l x1 .....y1.....1 l
.....l x2 .....y2.....1 l
.....l x3 .....y3.....1 l
SELF WRITTEN....HOPE THAT IT HELPS....
cheers!!!!!!!
Comments (12)
22 Aug 2007 12:04:00 IST
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hey thanx tumhar articles sach me acche hain yaar...
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