Matrices and Determinants

If A is an invertible matrix of order 3x3 and IAI=9.

Then find IadjAI=

• 18

• 81

• 729

• 9

Using determinants, find the area of the triangle whose vertices are (0, 0), (4, 3) and (8, 0).

• 12

• 21

• 24

• NONE OF THE ABOVE

the points (1, 0), (6, 0) and (0, 0) are collinear

• NOT POSSIBLE

• CANNOT BE DETERMINED

• TRUE

• NONE OF THE ABOVE

Let A be square matrix of order 3 X 3. Write the value of|2𝐴|, where |𝐴| = 4

• 8

• 16

• 24

• 32

• 2I

• A

• I

• NONE OF THE ABOVE

If A is a skew-symmetric matrix of order 3, write the value of 𝑑𝑒𝑡(𝐴).

• 0

• 1

• 2

• 3

If A is an invertible matrix of order 3 and |𝑎𝑑𝑗 𝐴| = 64, then find|𝐴|.

• 8

• -8

• +8 & -8

• 64

If a matrix has 18 elements, what are the possible orders it

can have?

• 5

• 6

• 7

• 8

If A is a non-singular matrix such that |𝐴| = 5, then find|𝐴⁻¹|.

• 5

• 25

• NONE OF THE ABOVE

Let A is square matrix of order 3, |𝐴| ≠ 0 𝑎𝑛𝑑 |3𝐴| = 𝑘|𝐴|, then write the value of k.

• 3

• 18

• 9

• 27