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31 Cards in this Set
- Front
- Back
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What is the Identity matrix? and what transformation does it represent?
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[1 0
0 1 ] All points unchanged |
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Name the transormation matrix that represents a Rotation of 90 degrees anticlockwise about the origin.
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[0 -1
1 0] |
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Name the matrix that represents that represents a rotation 180 degrees about the origin.
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[-1 0
0 -1] |
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Name the Matrix that represents a rotation 90 degrees clockwise about the origin.
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[ 0 1
-1 0] |
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Name the matrix that represents a reflection in the x-axis.
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[ 1 0
0 -1] |
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Name the matrix that represents a reflection in the y-axis
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[-1 0
0 1] |
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Name the matrix that represents a reflection in the line y=x
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[ 0 1
1 0] |
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Name the matrix that represents an enlargement scale factor x, centre at the origin.
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[ x 0
0 x] |
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Name the matrix that represents a stretch scale factor x from the y-axis.
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[ x 0
0 1] |
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Name the matrix that represents a stretch scale factor x from the x-axis
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[ 1 0
0 x] |
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Name the matrix that represents a shear, parallel to the x-axis.
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[ 1 1
0 1] |
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Explain what a transpose of a matrix M is.
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The transpos of a matrix M is obtained by interchanging the rows and columns of M,
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What do you notice about the transpose of AB and transpose of B times by the transpose of A?
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The are the same
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What can you say abut the comutaticity of addition for a matrix?
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A+B=B+A
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What can you say about the commutaticity of multiplication for a matrix?
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AB does not necessarily equal BA
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What can you say about the Distributive law of matices?
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A(B+C) = AB+AC
(U+V)W = UW + VW |
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What can you say about the associatice law of matrices?
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A(BC) = (AB)C
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Name the Matrix of a rotation of xdegrees anticlockwise about the origin.
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[cosx -sinx
sinx cosx] |
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Name the matrix that represents a reflection in the line y = x tan d.
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[ cos 2d sin 2d
sin 2d -cos 2d] |
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Name the matrix of a Shear scale factor K parallel to the y-axis.
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[ 1 0
k 1] |
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Name the 3x3 matix that represents the identity matrix.
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[ 1 0 0
0 1 0 0 0 1] |
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Name the 3x3 matrix that represents the rotation of d degrees about the x axis.
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[ 1 0 0
0 cosd -sind 0 sind cosd ] |
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Name the 3x3 matric that represents a rotation of d degrees about the y axis.
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[cosd 0 sind
0 1 0 -sind 0 cosd] |
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Name the matrx that represents a rotation of d degrees about the z axes.
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[cosd -sind 0
sind cosd 0 0 0 1] |
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Name the 3x3 matrix that represents an enlargement, scale factor k.
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[ k 0 0
0 k 0 0 0 k] |
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Name the 3x3 matrix that represents a reflection in the plane x=0
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[-1 0 0
0 1 0 0 0 1] |
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Name the 3x3 matix that represents a reflection in the plane y=0
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[ 1 0 0
0 -1 0 0 0 1] |
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Name the 3x3 matrix that represents a reflection in the plane z=0
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[ 1 0 0
0 1 0 0 0 -1] |
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Name the 3x3 matrix that represents a reflection in the plane x=y
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[ 0 1 0
1 0 0 0 0 1] |
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Name the 3x3 matrix that represents a reflection in the plane y=z
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[ 1 0 0
0 0 1 0 1 0] |
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Name the 3x3 matrix that represents the reflection in the plane x=z
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[ 0 0 1
0 1 0 1 0 0] |
