- Mathematical Methods
- Year 11
Transformation using Matrices
approx. 5 hrs
2 topics
18 concepts
Gain proficiency in applying matrix techniques to transform graphs.
approx. 5 hrs
2 topics
18 concepts
Gain proficiency in applying matrix techniques to transform graphs.
In this learning program, students will develop skills to perform mathematical operations using matrices. We will explore the connection between the matrix structure and the structure of a given function. This will enable students to effectively use matrices with transformations of functions.
This learning program is made up of the following 2 topics, broken down into 18 concepts.
Apply the multiplicative identity for a 2x2 square matrix
Understand aij notation for a 2x2 or 2x1 matrix
Use a graphing calculator to perform calculations of matrices
Find the determinant of a 2x2 matrix
Find the inverse of a 2x2 matrix
Perform scalar multiplication of a matrix
Subtract matrices
Multiply two matrices
Add matrices
Given a linear transformation find the image of a point
Find the image of a straight line or curve under a transformation described by an equation
Use a 2x2 matrix to find the image of a point under a dilation dactor k from the x-axis
Use a 2x2 matrix to find the image of a point under a reflection in the line y=x
Use a 2x2 matrix to find the image of a point under a reflection in the x-axis
Find the equation of the image of a straight line or curve under a transformation defined by a 2x2 matrix
Use a 2x2 matrix to find the image of a point under a reflection in the y-axis
Use matrix multiplication to combine two linear transformations
Use a 2x2 matrix to find the image of a point under a dilation dactor k from the y-axis
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