Karteikarten
Matrices
Karten in diesem Stapel (16)
- 12x2 identity matrix10
01 - 2How do you get an identity matrix?By multiplying a matrix by its inverse.
- 3What does associative mean?The order of the numbers are the same but the operation order is different.
- 4What does commutative mean?The order of the numbers are different.
- 5Matrix are not ---- but are ----Commutative
Associative - 6What does the determinant give?The area scale factor of the transformation
- 7What is the product rule for inverse matrices?(AB)^-1 = B^-1 * A^-1
- 8How do you find the determinant of a matrix?ad - bc
- 9What is the layout of an inverse matrix?1/ ( d -c)
ad-bc (-b a) - 10How do you know if the matrix has no inverse and how is this represented geometrically with solutions?If the determinant is zero the matrix has no inverse.
If no inverse the two lines are parallel with no solution and if there is the two lines have an infinite amount of solutions as they are the same line. - 11How to work out the matrix for a given transformation?Take simple points such as (1,0) and (0,1) and work how they would map under the transformation to create the matrix.
- 12What is the general anti-clockwise rotation?cosθ -sinθ
sinθ cosθ - 13If T and S are different transformations how do you find the matrix representing T followed by S?S*T
- 14What is an invariant point?A point that won't change no matter the matrix applied to it
- 15What is an invariant line?A line could be made up of invariant points or the points on the line could be moved to other points on the line thus staying the same line.
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- Beschreibung
- AS level Further Maths (FP1) Karteikarten am Matrices, erstellt von Kashly Cash am 14/03/2017.
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- Kashly Cash
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