Class XII

If A and B are any 2 × 2matrices , then det. (A+B) = 0 implies
  1. det A = 0 or det B = 0
  2. det A = 0 and det B = 0
  3. detA + det B =0
  4. none of these
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)
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 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
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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