Show that the matrices a = [1 2 -1 4] and b = [2/3 -1/3 1/6 1/6] are multiplicative inverses in m_2, 2.

Proof:

Let's Multiply them!

If you don't remember how to multiply matrices, don't worry. In order to get AB we focus on the rows of A, and the columns of B.

Then  

We also have to see what happens with .

With this, we can conclude that

where is the identity matrix. An by definition, that means that and   are multiplicative inverses.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4