- This is the first formal reference to matrices in the K-12 mathematics standards progression.
- Students should be able to perform operations with matrices that include the identity matrix and the zero matrix.
- Students should recognize that matrix multiplication is not commutative.
- Students should be able to calculate the following matrix operations without the use of technology: scalar multiplication, addition, subtraction, multiplication of 2x2 matrices, calculate the determinant of a 2x2 matrix, and the inverse of an invertible 2x2 matrix. Students should have opportunities to utilize technology to perform the same calculations with matrices of greater dimension.
- Students may use technology in calculations with matrices of greater dimension than 2x2.
- A system of linear equations in standard form can be represented as an equation of a coefficient matrix multiplied by a variable matrix, equal to a constant matrix.
- Students may use technology for matrices of dimension 2 x 2 or higher to calculate the inverse of an invertible matrix.
- Food and Agriculture, Engineering, and Manufacturing optimization problems would be appropriate for this learning objective. Other contexts may be used, as well.
Textbook Connections
Module 15
Lesson 1- Real World Application of Matrices (what it is)
Lesson 2- Adding and Subtracting Matrices
Lesson 3- Multiplying Matrices
Lesson 4- Solving Systems of Equations using Matrices
(Real World Application is woven throughout each lesson)
Module 15
Lesson 1- Real World Application of Matrices (what it is)
Lesson 2- Adding and Subtracting Matrices
Lesson 3- Multiplying Matrices
Lesson 4- Solving Systems of Equations using Matrices
(Real World Application is woven throughout each lesson)