Answer:
X=-2
Step-by-step explanation:
Answer:
a. AB: 3 by 7
b. BA: N by N
c. A^TB: N by N
d. BC: 6 by 3
Step-by-step explanation:
Given
Required
The dimension of the following matrices
As a general rule:
For A * B to be successful, the columns in a must equal the rows in B
Using this rule, we have:
So:
The column numbers of B does not equal the row numbers of A.
Hence, BA does not exist
implies that:
If , then
So:
The column numbers of A^T does not equal the row numbers of B.
Hence, 
does not exist
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
1.50 / 4 = .50 , $.50 for 4 eggs
