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


Answer:
Angle DOC
Step-by-step explanation:
Since angle AOC and angle DOC are ajacent angles that form a straight line, they are supplementary to each other.
By the definition of supplementary angles, you can determine that angle AOC + angle DOC = 180.
Also notice that angle DOC is a right angle (90 degrees), so you can also determine that angle AOC is also a right angle since they are supplementary.
Answer:
when x is any real number
Step-by-step explanation:
commutative property
The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.