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:
between 7 and 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the cost of the Uber ride be represented by y in dollars.
Let the number of miles that the Uber rides be represented by x.
The equation relating x and y is expressed as
y = 2/3x + 4.
This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.
The cost of a 21 mile ride will be
Substituting x = 21 into the given equation, it becomes
y = 2/3 × 21 + 4 = 14 + 4 = 18
The 21 mile ride costs $18
Part B) The $46 ride will cost
Substituting y = 46 into the given equation, it becomes
46 = 2x/3 + 4 =
46 - 4 = 2x/3
42 = 2x/3
2x = 42 × 3 = 126
x = 126/2 = 63
The $46 ride will be 63 miles
