Question

Matrix A is mapped onto matrix B by dilation, What is the value of x in the new matrix?

Answer 1

To find the value of x, we will have to follow the steps below:

step 1: find the scale factor (f) of the dilation between matrix A and B

This will be achieved by comparing similar members of both matrices.

we can observe that

`\begin{gathered} f=(B_(12))/(A_(12))=(6)/(10)=(3)/(5) \\ f=(B_(21))/(A_(11))=(8.4)/(14)=(3)/(5) \end{gathered}`

Thus, the scale factor is 3/5

Step 2: use the scale factor to find the value of x

`\begin{gathered} (B_(11))/(A_(11))=(x)/(4.28)=f \\ (x)/(4.28)=(3)/(5) \end{gathered}`

cross-multiply

`x=(3*4.28)/(5)=2.568`

Hence, the value of x = 2.568