Pre Calculus Assignments 2019-2020

---

​

• Be able to solve a matrix equations that involves scalar multiplication, matrix addition, or matrix subtraction, or combination of all non-matrix multiplication operations.
• Be able to solve a matrix equations that involves scalar multiplication, matrix addition, matrix subtraction, matrix multiplication or combination of ANY matrix operations.
• Be able to find an inverse of a 2 x 2 matrix or a 3 x 3 matrix by hand and through the use of technology
• Interpret why a 2 x 2 matrix or a 3 x 3 would not have an inverse or why any related 2 x 2 matrix equation or 3 x 3 matrix equation would not have a solution
• Solve a 2 x 2 matrix equation or a 3 x 3 through the use of Cramer's Rule by hand and through the use of technology
• Solve a 2 x 2 matrix equation through the use of matrix inverses by hand and through the use of technology
• Solve a 3 x 3 matrix equation through the use of Cramer's Rule by hand and through the use of technology
• Solve a 3 x 3 matrix equation through the use of matrix inverses through the use of technology  
• Be able to apply simple matrices to solve real world problems 

​1) Work on Practice Related to:

• finding matrix determinants of 2x2 and 3x3 matrices by hand and through the use of technology
  • determinant of a 2 x 2 matrix
  • determinant of 3 x 3 matrix
• finding solutions to  2 x 2 and 3 x 3 systems of equations using Cramer's Rule
  • solving a 2 x 2 matrix equation using Cramer's Rule 
  • solving a 3 x 3 matrix equation using Cramer's Rule 
• finding the inverse of a 2 x 2 matrix by hand
  • inverse of a 2 x 2 matrix
• finding the inverse of a 3 x 3 matrix using technology
  • inverse of a 3 x 3 matrix 
• Solve a variety of matrix equations using inverse operations and inverse matrices
• Use of a matrix in a real life scenario

2) Watch related videos and go to related links

• matrix operations link 

3) Additional Practice

• solving matrix equations NO INVERSES needed
• solving matrix equations INVERSES needed

4) Daily Quizzes ​ (complete by midnight each day)

• Monday Topic: Find the determinant of a 3 x 3 matrix by hand and find the inverse of a 2 x 2 matrix by hand
  • QUIZ 
  • WORKED OUT SOLUTIONS
• Tuesday Topic: Solve a matrix equation without inverses
  • QUIZ 
  • SOLUTIONS
• Wednesday Topic: Find the determinant of any matrix with technology, solve a 3 x 3 Matrix equation using inverses
  • QUIZ 
  • SOLUTIONS
• Thursday Topic: Solve a matrix equation with and without inverses
  • ​QUIZ 
  • SOLUTIONS
• Friday Topic: Applications of Matrices in Real World
  • ​PRACTICE 
  • Worked out samples and examples