Definitions
What does it mean when a limit does not exist?
The function has different left and right limits, goes to infinity, or oscillates
Lim x—>3pi/4 2cos(x)
What is the answer?
-1.414
Determine the dimensions of the matrix
[ 6 4 3 4 1 2 5 7 8 ]
What is the difference between REF and RREF?
In RREF, every column containing a leading 1 must have only zeros above and below it, but this isn’t required for REF
Lim x—>infinity (5x + 1) (7 - x) / (5x - 7) (5 + x)
-1
What is the augmented matrix?
[3x-2y-6z=-4]
[-3x+2y+6z=1]
[x-y-5z=-3]
[ 1 0 4 | 0 ]
[ 0 1 9 | 0 ]
[ 0 0 0 | 1 ]
A system of linear equations is called _____ when it has no solution
Inconsistent
Lim x—>infinity (4 + 5/x)
4
A ____ is a set of numbers arranged in a specific order
Lim x—>infinity 3/x^2
What is the answer?
0
What is the dimension of a matrix that has seventeen rows and fifty columns but lets say that their is 50% of 17 more rows than seventeen and 1/4 of the 50 columns
25.5x12.5
A sequence can be ___ (has a specific number of terms) or ____ (continues indefinite)
finite and infinite
What is the answer?
1
Provide the dimensions, augmented matrix, and answer of this Matrix ( Ordered Triple )
x+2y-z=4
2x+4y-2z=8
-3x-6y+3z
Dimension: 3x4
Augmented Matrix:
[ 1 2 -1 | 4 ]
[ 2 4 -2 | 8 ]
[ -3 -6 3 | -12 ]
Answer: (4,0,0)