Class XII

A square matrix A is invertible iff det A is equal to
  1. non zero
  2. –1
  3. 1
  4. 0
In a third order determinant , each element of the first column consists of sum of two terms , each element of the second column consists of sum of three terms and each element of the third column consists of sum of four terms . Then it can be decomposed into n determinants , where n has value
  1. 1
  2. 24
  3. 9
  4. 16
The system of equationsx+2y =5 , 4x+8y =20 has
  1. no solution
  2. a unique solution
  3. infinitely many solutions
  4. none of these.
If the entries in a 3 x 3 determinant are either 0 or 1 , then the greatest value of this determinant is :
  1. 1
  2. 0
  3. None of these
  4. 2
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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