C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, explain how to find determinant and provide the answer

Step-by-step explanation:

A 2 × 2 matrix has 2 rows and 2 columns

Let us assume that matrix A is expressed as

a b

c d

The determinant of matrix A would be

(a × d) - (b × c)

Given that the determinant of matrix A is 3, it means that

ad + bc = 3

If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

6c 6d

2a 2b

The determinant would be

(6c × 2b) - (2a × 6d)

Determinant = 12bc - 12ad

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

a 360 degree rotation

step-by-step explanation: