Class XII

A square matrix A is invertible iff det A is equal to
  1. non zero
  2. –1
  3. 1
  4. 0
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
If A, B be two square matrices such that |AB|=O, then
  1. Det.B=0
  2. BA
  3. Det.=A =0
  4. Det. A=0 or Det. B =0 or both A and B =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
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