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

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

If A is a 3 x 3 matrix such that det (A) = 8, then det (3A) equals ________.

• 8

• 24

• 72

• 216

• 2

• 6

• 0

• -2

• 2

• 6

• 0

• -2

What is the determinant of this matrix?

• 5

• -5

• 0

• -12

Evaluate the value of det (G).

• 8

• -8

• 18

• -18

If A is square matrix of order 3 such that |AdjA| =64 , find |A|

• 64

• 8

• 4

• 192