# Math

posted by .

Which 3 x 3 matrix represents a reflection in the yz plane followed by inversion through the origin?

• Math -

That would be the product of the matrices of the two operations, done in that order. The first matrix changes x tp -x, and leaves y and z the same. The second matrix changes x to -x, y to -y and z to -z.

The product matrix leaves x unchanged and changes y to -y and z to -z.
The resulting matrix would seem to be
1...0...0
0.. -1..0
0...0..-1

## Similar Questions

1. ### math

Find the matrix which represents(a)a reflection(b)a half turn abt 0(c)a reflection in the line y=x).plz help me...)
2. ### Graphing interpretation

What would it mean if the line of a linear regression graph went through the origin?
3. ### math

Find the entries of the following matrices: (a) the 2 ×2 matrix M for the reflection across the line y = x. (b) the 2 ×2 matrix N for the 90 degree counterclockwise rotation about the origin. (c) the product MN;what transformation …
4. ### MATH

A(2,1) , B(4,3) and C(3,5) are the vertices of a triangle ABC. If r1 represents the reflection in X axis and r2 represents the reflection in the line x=5, find the image of triangle ABC under combined transformation r2 o r1. Should …
5. ### Math

Find a single matrix that defines a rotation of the plane through an angle of π/6 about the origin, while at the same time moves points to five times their original distance from the origin.
6. ### math

Construct a 2 × 2 matrix that defines a shear of factor 4 in the y-direction, followed by a scaling of factor 5 in the x-direction, followed by a reflection about the y-axis.
7. ### math

Find a single matrix that defines a rotation of the plane through an angle of π/6 about the origin, while at the same time moves points to five times their original distance from the origin.
8. ### Linear Algebra

Construct a 2 × 2 matrix that defines a shear of factor 4 in the y-direction, followed by a scaling of factor 5 in the x-direction, followed by a reflection about the y-axis.
9. ### Geometry I

Two transformations take place, the resultant change is A(x,y) ---A''(x+4, y-^, This is a result of a reflection in the y axis followed by a _________ (translation, reflection, rotation). I have the answer give by teacher as a "reflection, …
10. ### Geometry I

Two transformations take place, the resultant change is A(x,y) ---A''(x+4, y-6), This is a result of a reflection in the y axis followed by a _________ (translation, reflection, rotation). I have the answer give by teacher as a "reflection, …

More Similar Questions