Make a conjecture.
The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.
Determinants are considered as a scaling factor of matrices. They can be considered as functions of stretching out and the shrinking in of the matrices. Determinants take a square matrix as the input and return a single number as its output.
The given matrix is
The determinant of 3×3 matrix can be find using
|C|= a₁(b₂c₃−b₃c₂)−b₁(a₂c₃−a₃c₂)+c₁(a₂b₃−a₃b₂)
Now, 1(2×4-z×0)-0(x×4-y×0)+4(x×z-y×2)
= 8+4xz-8y
The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.
Learn more about the determinant here:
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Answer:
det = 8
Step-by-step explanation:
1(8 - 0) - x(0 - 0) + y(0 - 0)
= 8
Percent of change
Percent of decrease
Percent of increase
Answer:
We know that:
" Elapsed time is the time or difference between a beginning time and an ending time ".
Now the two different methods to find the elapsed time is:
Method 1:
Subtract 2:30 directly from 2:58.
2:58 - 2:30 = 0:28
Hence, the elapsed time is 28 minutes.
Method 2:
Round 2:58 to 3:00, subtract 2:30 from 3:00, and at the end subtract 2 to get the desired time(2:58 + 2 = 3:00)
( Since it is easy to calculate the whole numbers).
2:58 is approximately 3:00
3:00 - 2:30 = 30 min
30 min - 2 min = 28 min.
Hence, elapsed times is 28 minutes.
Answer:
Step-by-step explanation:
hello :
x^3-4x^2+5x-20 = x²(x-4)+5(x-4) = (x-4)(x²+5)