Understanding and applying determinants

Evaluate each determinant:

|3 -5|

|5 -4|

• -10

• 37

• 25

• 13

Calculate the

 $m_{23\ }$ (minor) and   $c_{23}$  (cofactor)

•  $m_{23}=12,\ \ c_{23}=12$  

•  $m_{23}=12,\ \ c_{23}=-12$  
  

•  $m_{23}=-20,\ \ c_{23}=-20$  

•  $m_{23}=-20,\ \ c_{23}=20$  
  

what are the uses of determinants

• to calculate the perimeter of 2x2 matrices

• to calculate the change in area of 2x2 matrices

• to calculate the volume of 2x2 matrices

• to calculate the change in area of 3x3 matrices

Find the determinant of the matrix .

• A

• B

• C

• D

Which of the following choices does NOT show how a determinant could be denoted?

• |A|

• det

• det (A)

• $A^{-1}$

Evaluate the determinant without a calculator

• 366

• 132

• 430

• 243

Evaluate the determinant of the matrix.

What’s the determinant of this matrix?

• 1/34

• 34

• 1/25

• 25

Which of the formulae in the picture is the formula for calculating the determinant of a 3x3 matrix?

• a

• b

• c

• d

• 1

• 1/2

• $\sqrt{3}$ /2

• none of these