Matrices Determinants

Let A be a square matrix of order 3x3 then| kA| = .

• k |A|

• k²|A|

• k³|A|

• 3k|A|

•Determinant of a skew-symmetric matrix of odd order is always

• 1

• 0

• -1

• May be any number

If |A| = 0, then A is

• zero matrix

• singular matrix

• non-singular matrix

• Identity matrix

If A is singular matrix, then A (adj A) =

• a unit matrix

• a null matrix

• a symmetric matrix

• none of these

If A and B are nonsingular matrices of the same order then

(adj AB) =

• (adj A)(adj B)

• (adj B)(adj A)

• does not exist

• none of these

If A and B are invertible matrix then (AB)^-1 =

• A^-1B^-1

• AB

• B^-1A^-1

• none of these

• 3

• 6

• 9

• 12

• A

• -A

• A null matrix

• A unit matrix

• 3 only

• -3 only

• 3 or -3

• 6 or -6