Drag each tile to the correct box. Arrange the matrices in increasing order of their determinant values.

Order of the Matrix will be

↓

↓

↓

↓

↓

↓

Step-by-step explanation:

Given - The matrices are -

To find - Arrange the matrices in increasing order of their determinant values.

Proof -

Determinant of matrix is

= (2)(4) - (6)(3)

= 8 - 18

= -10

So,

Determinant of matrix  = -10

Determinant of matrix is

= (-2)(9) - (-7)(5)

= -18 + 35

= 17

So,

Determinant of matrix = 17

Determinant of matrix is

= (6)(-8) - (6)(5)

= -48 - 30

= -78

So,

Determinant of matrix  = -78

Determinant of matrix is

= (2)(-5) - (4)(5)

= -10 - 20

= -30

So,

Determinant of matrix = -30

Determinant of matrix is

= (2)(4) - (5)(-2)

= 8 + 10

= 18

So,

Determinant of matrix = 18

Determinant of matrix is

= (4)(2) - (-3)(5)

= 8 + 15

= 23

So,

Determinant of matrix  = 23

Determinant of matrix is

= (3)(6) - (2)(4)

= 18 - 8

= 10

So,

Determinant of matrix  = 10

Now,

Increasing order of Determinant is -

-78 < -30 < -10 < 10 < 17 < 18 < 23

So,

Order of the Matrix will be

↓

↓

↓

↓

↓

↓

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.