If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
![A=B=\left[\begin{array}{cc}1&2\\4&5\\7&8\end{array}\right]](https://tex.z-dn.net/?f=A%3DB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C4%265%5C%5C7%268%5Cend%7Barray%7D%5Cright%5D)
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.
Answer:
he would have to order 3 steaks from the first company and 3 from the second
Step-by-step explanation:
For x=1: -7 x 1 + 4 = -3 y=-3
The ordered pair:(1, -3)
for x=3: -7 x 3 + 4 = -17 y=-17
The ordered pair:(3, -17)
for x=5: -7 x 5 + 4 = -35 y=-35
The ordered pair:(5, -35)
for x=7: -7 x 7 + 4 = -45 y =-45
The ordered pair:(7, -45)
Answer:240
Step-by-step explanation:
120
× 12
------
240