Get Expert Answers on Linear Transformation Properties

High School
Geometry
High school geometry
Transformation properties

Recent questions in Transformation properties

khamusir2u 2023-03-14

How does dilation affect angle measures?

hordesowderneo8x7 2023-02-24

How can dilations be used in real life?

rivasguss9 2022-08-10

What is the best way to change the amount of force that a cylinder applies?
A. adjust a solenoid operated valve
B. Adjust the flow control valve
C. Charge air pressure
D. Charge software settings

komanijuuxw 2022-04-29

Let L : $: P_{2} \Rightarrow P_{3}$ be a linear transformation for which we
know that $L : (1) = 1, L (t) = t^{2}, L (t^{2}) = t^{3} = t .$
(a) Find $L (2 t^{2} - 5 t = 3) .$
(b) Find $L (a t^{2} - b t + c) .$

Kali Bates 2022-03-28

You can transform G to G' by translating it and then preforming a dilation centered at G'. Find the translation rule and the scale factor of the dilation.

Reuben Brennan 2022-03-24

Let L : $: P_{2} \to P_{3}$ be a linear transformation for which we
know that $L : (1) = 1, L (t) = t^{2}, L (t^{2}) = t^{3} = t .$
(a) Find $L (2 t^{2} - 5 t = 3) .$
(b) Find $L (a t^{2} - b t + c) .$

Zimbilin2p 2022-03-17

Assume T: $R \land m$ to $R \land n$ is a matrix transformation with matrix A.
Prove that if the columns of A are linearly independent then T is one to one. (i.e injective) (Hint: Remember the matrix transformations satisfy the linearity properties.)
Linearity Properties:
If A is a matrix, v and w are vectors and c is a scalar then,
A0=0
A(cv)=cAv

jkminzeszjt 2022-02-15

On each of the given triangles, perform a rotation of $180^{\circ}$ about point X. Shade the quadrilateral formed and give the most specific name for the quadrilateral in the spaces below.

Zain Padilla 2022-02-14

A quadratic function f is given
$f (x) = 3 x^{2} + 6 x + 4$
a) Express f in transformation form

Edkowiez2x 2022-02-13

1. On a sheet of graph paper, draw scalene acute $△ A B C$ .
- Draw side $\overset{―}{B C} of △ A B C$ along a grid line.
- Be sure all vertices are placed at the intersection of grid lines.
2. Draw an altitude, $\overset{―}{A D} of △ A B C$ from point A to $\overset{―}{B C}$ .
3. Label the figure you have drawn by indicating cingruent sides, angles, and measures.
4. Reflect $△ A B C$ across the line containing $\overset{―}{B C}$ .
5. On a separate sheet of graph paper, repeat steps 1-4 with a scalene obtuse $△ A B C$ .
6. Discuss with your group the properties of the kites ACAB

Kiribatiyo2 2022-02-13

Triangle ABC has vertices $A (1, 3), B (- 2, - 1) and C (3, - 2)$ . Graph $△ A B C$ and its image after the indicated composite transformation.
First transformation: Translation: along $(x, y) \to (x + 2, y)$
Second Transformation: Reflection across y-axis.
Coordinate of B after translation
B'( ?, ?).
Coordinate of B after Reflection
B''( ?, ?)

Annette Arroyo 2021-08-10

The graph $y = - 2 (\frac{3}{2} - e^{3 - x})$ by:
a) Performing the necessary algebra so that the function is in the proper form (i.e., the transformations are in the proper order).
b) Listing the transformations in the order that they are to be applied.
c) Marking the key point and horizontal asymptote.

Jason Farmer 2021-06-27

Scientists submerge a paddle wheel in a stream and watch its rotational speed to determine the current's speed. If the paddle wheel has radius 0.20 m and rotates at 100 rpm, find the speed of the current in m/s.

facas9 2021-03-10

The value of the operation [8]+[6] in $Z_{12}$ and to write the answer in the form [r] with $0 \leq r < m$ .

Cabiolab 2021-03-07

Are all right triangles similar? Explain your answer.

Rivka Thorpe 2021-03-07

Let ${v_{1}, v_{2}, \dots, v_{n}}$ be a basis for a vector space V. Prove that if a linear transformation $T : V \to V$ satisfies $T (v_{1}) = 0 for i = 1, 2, \dot{s}, n,$ then T is the zero transformation.
Getting Started: To prove that T is the zero transformation, you need to show that $T (v) = 0$ for every vector v in V.
(i) Let v be an arbitrary vector in V such that $v = c_{1} v_{1} + c_{2} v_{2} + \dot{s} + c_{n} v_{n} .$
(ii) Use the definition and properties of linear transformations to rewrite $T (v)$ as a linear combination of $T (v_{1})$ .
(iii) Use the fact that $T (v_{i}) = 0$ to conclude that $T (v) = 0$ , making T the zero tranformation.

alesterp 2021-03-06

Whether the function is a linear transformation or not.
$T : R^{2} \to R^{3}, T (x, y) = (\sqrt{x}, x y, \sqrt{y})$

ringearV 2021-02-19

To determine.
The correct graph for the function $g (x) = - \frac{1}{2} f (x) + 1$ is B

Kyran Hudson 2021-02-18

To prove: $[a, b] > [c, d] if and only if a b d^{2} - c d b^{2} \in D^{+}$ .
Given information:
$Acoording to the definition of "greater than," > is defined in Q by [a, b] > [c, d] if and only if [a, b] - [c, d] \in Q^{+}$

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Examples of Linear Transformation Properties