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
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
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
If A and B are square matrices of order 3 , such that Det.A = –1 , Det.B =3 then the determinant of 3AB is equal to
  1. 81
  2. –9
  3. –27
  4. -81
A square matrix A is invertible iff det A is equal to
  1. non zero
  2. –1
  3. 1
  4. 0
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