Studied by 5 people
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in the y-axis , invariant line of x=0
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in the x-axis, invariant line of y=0
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in the line y=x, invariant line of y=x
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in y=-x, invariant line of y=-x
what does this matrix represent & what are its invariant points/ is there an invariant line?
a rotation angle θ anticlockwise about the origin, invariant point (0,0)
what does this matrix represent & what are its invariant points/ is there an invariant line? what does it represent when a=b?
stretch of scale factor a parallel to the x-axis, and scale factor b parallel to the y-axis (where a=b it is an enlargement scale factor a)
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in the plane x=0
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in the plane y=0
what does this matrix represent & what are its invariant points/ is there an invariant line?
reflection in the plane z=0
what does this matrix represent & what are its invariant points/ is there an invariant line?
a rotation , angle θ, anticlockwise around the x-axis
what does this matrix represent & what are its invariant points/ is there an invariant line?
a rotation , angle θ, anticlockwise around the y-axis
what does this matrix represent & what are its invariant points/ is there an invariant line?
a rotation , angle θ, anticlockwise around the z-axis
what does the transformation A-1 describe?
the reverse of the transformation represented by matrix A
Note
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