We use the Distance Formula or the Pythagorean Theorem to find this property of vectors.
What is the magnitude of a vector?
100
Number of rows then number of columns.
How do you identify the dimensions of a matrix?
100
This is a method for finding the area of a triangle by first listing the coordinates in a matrix with a column of 1's.
What is the half of the determinant?
100
This is what we are trying to find when solving a system of equations.
What is the point of intersection?
100
This is the inverse of the matrix
[1 -5]
[2 -1].
(You may use the shortcut)
What is
[1 -5]
[2 -11]?
200
This is a quantity that has both magnitude and direction.
What is a vector.
200
This is the sum of the two matrices
[2 3z] + [x z]
[-6 2h] + [-3 -k].
What is
[2+x 4z]
[-9 2h-k]?
200
This is the area of a triangle with vertices (-3, -1), (0, -4), and (1, 2).
(Use determinants to calculate)
What is 10.5?
200
This is how to write the following system of equations in matrix form:
3x-5y=11
-6x+y=-8
What is
[3 -5 | 11]
[-6 1 | -8]?
200
This is the property of matrices we use to determine if a matrix has an inverse.
What is the determinant?
300
This resultant vector has a sum of vectors
<-3, 5> + <8, -2>.
What is <5, 3>
300
When performing this operation, the number of columns of the first matrix must match the number of rows of the second.
What is matrix multiplication?
300
This is the area of a triangle with vertices (3, -3), (3, 2), and (-2, 1).
(Use the area formula for matrices).
What is 12.5?
300
This is the solution to the system of equations -3x+8y=-22 and 5x+3y=4.
What is (2, -2)?
300
This is the solution to a system of equations
8x-6y=-20
-16x+7y=30
by applying the inverse matrix.
What is (-1, 2)?
400
This is when you position two vectors with initial points at the origin, then translate each of the vectors to form a parallelogram to find the sum of the two original vectors.
What is the parallelogram rule?
400
This matrix property can be found by in 2x2 matrices by the operations ad-bc.
What is the determinant?
400
This is the area of a quadrilateral with coordinates (-2, 3), (-1, -2), (2, -1), and (1, 1).
What is 10?
400
This is the solution to the system of equations -16y=22+6x and -11y-4x=15.
What is (-1, -1)?
400
This is the inverse to the matrix
[-1 7]
[-1 7].
What is undefined?
500
This is the product of the two vectors <-3, 5> and <6, -1>.
What is -23?
500
This is the product of the two matrices
[-5 2][-8]
[1 -6][-3]
[0 4].
What is [34 10 -12]
500
This is the area of a pentagon with vertices (0, 0), (1, -3), (2, 1), (1, 3), and (-2, 1).
What is 9.5?
500
This is the solution to the system of equations -4x-5y-z=18, -2x-5y-2z=12, and -2x+5y+2z=4.
What is (-4, 0, -2)?
500
This is the inverse to the matrix
[-2 2]
[-9 8].
(You must augment with the identity matrix)