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:
16
Step-by-step explanation:

She can expect to pick a black marble 125 times
Answer: Both answers will be

Step-by-step explanation:
Since we have given that
Cost of soccer balls = $15
Cost of baseball = $6
Cost of sweat socks = $5
a) Mr. Tonkery bought x number of soccer balls and 3 base balls .
So, our algebraic expression will be

b) Dennis, Eddie and Felix are on a base ball team. They each bought a baseball and x pair of sweat socks .
Since there are 3 members in a base ball team ,
Number of base ball they will purchase is given by

Number of sweat socks they will bought is given by

Total number they will purchase is given by

Hence, both answers will be

Answer:
Step-by-step explanation: