Class XII

If A ,B andC be the three square matrices such that A = B + C , then Det A is equal to
  1. none of these
  2. det C
  3. det B
  4. det B + detC
Find the area of triangle with vertices ( 1 ,1 ) , (2 ,2 ) and ( 3, 3 ).
  1. 0
  2. 1
  3. 2
  4. 5
A determinant is unaltered , if
  1. Two rows are interchanged
  2. Two columns are interchanged
  3. Every element in a column is multiplied by the same factor
  4. To each element of any row is added the corresponding element of the other row multiplied by a given factor
The point (3, 2 ) is reflected in the y – axis and then moved a distance of 5 units towards the negative side of y – axis .The co – ordinates of the point thus obtained are
  1. (3,–3)
  2. (–3,3)
  3. (–3,–3)
  4. (3,3)
If the value of a third order determinant is 11 , then the value of the square of the determinant formed by the cofactors will be
  1. 14641
  2. 11
  3. 1331
  4. 121
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