Let Aequals=[Start 2 By 2 Matrix 1st Row 1st Column 4 2nd Column 2 2nd Row 1st Column negative 1 2nd Column 2 EndMatrix ]4 2 −1 2 and Bequals=[Start 2 By 2 Matrix 1st Row 1st Column 2 2nd Column 4 2nd Row 1st Column negative 2 2nd Column k EndMatrix ]2 4 −2 k . What value(s) of k, if any, will make ABequals=BA?

Step-by-step explanation:

Given matrix

And

We need to find the value of , that will make .

Let us find

Now, let us find

Put

In order to make , the should be equal. As other two values are equal that are

By solving each equation

And

We can see if the value then

the answer will be

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it