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Calculating the Determinant of a 3 by 3 Matrix

Calculating the Determinant of a 3 by 3 Matrix. This Concept tutor is a supplement to help you understand the process of calculating a determinant of a matrix. You will use a four step process. NEXT. Applications of Matrices in Real-Life.

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Calculating the Determinant of a 3 by 3 Matrix

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  1. Calculating the Determinant of a • 3 by 3 Matrix This Concept tutor is a supplement to help you understand the process of calculating a determinant of a matrix. You will use a four step process. NEXT

  2. Applications of Matrices in Real-Life Used in real life applications (finance, science, manufacturing, optimizing, etc) to solve linear systems of equations. Delta Air Lines uses linear programming (based on matrix computations) to solve its flight scheduling problem. The problem is to match aircraft to flight legs and fill seats with paying passengers, there by reducing the operating cost.

  3. Applications of Matrices in Real-Life Matrices are used with encryption in wi-fi communication . When you connect to a wi-fi hub in a restaurant , matrices and their inverses are used to encrypt your message.

  4. Video on Introduction to a 3 x 3 matrix Click here to watch the Introduction BACK NEXT

  5. Now it's your turn (1) What is a32 in the Matrix A? A= Select one of the following three options: C) B) A) If you get the answer correct, you will go to master the next step. If you make a mistake, the system will take you to solve another problem. BACK NEXT

  6. Now it's your turn (2) What is b21 in the Matrix B? B= Select one of the following three options: C) A) B) If you get the answer correct, you will go to master the next step. If you make a mistake, the system will take you to solve another problem. BACK NEXT

  7. Now it's your turn (3) What is c23 in the Matrix C? C= Select one of the following three options: C) A) B) BACK NEXT

  8. Step 1: Definition of determinant and minor Click here for the Definition video Part 1 BACK NEXT

  9. Now it's your turn (4) What is the M12 (minor row 1, column 2 ) ? W = Select one of the following three options: B) C) A) BACK NEXT

  10. Step 2: Applying Definition to a Matrix Click here for the Definition video Part 2 BACK NEXT

  11. Now it's your turn (5) What is the 3rd term in computing the Determinant W as shown below? |W|= =(-1)1+1 *w11* + (-1)1+2 *w12* + ?? Select one of the following three options: A) B) (-1)1+3 *w13* (-1)1+3 *w13* C) (-1)2+3 *w13* BACK NEXT

  12. Step 3: Solving the Minor of a Matrix Click here for the Definition video Part 3 BACK NEXT

  13. Now it's your turn (6)What is the determinant of the 2 by 2 matrix D? d11 d12 |D| = d21 d22 Select one of the following three options: |D|= (-1)1+1 d11 d22 + (-1) 1+2 d12 d21 A) |D|= (-1)1+2 d11 d21 + (-1) 1+1 d12 d22 B) |D|= (-1)1+3 d11 d22 + (-1) 1+3 d12 d21 C) If you get the answer correct, you will go to master the next step. If you make a mistake, the system will take you to solve another problem. BACK NEXT

  14. Now it's your turn (7) What is the determinant of a 2 by 2 matrix? -1 2 G = -2 1 Select one of the following three options: A) 3 B) 5 C) -5 BACK NEXT

  15. Step 4: Final Step in Computing Determinant of a Matrix Click here for the Definition video Part 4 BACK NEXT

  16. Applying the Concept to Solving a Numerical Problem Step 1: First term of summation and Identifying the Minor Click here for the Example video Part 1 BACK NEXT

  17. Now it's your turn (8) What is M32 (minor 3, 2 ) in the Matrix A? A= Select one of the following three options: B) C) A) If you get the answer correct, you will go to master the next step. If you make a mistake, the system will take you to solve another problem. BACK NEXT

  18. Now it's your turn (9) What is M21 (minor row 2, column 1 ) in the Matrix B? B= Select one of the following three options: C) A) B) If you get the answer correct, you will go to master the next step. If you make a mistake, the system will take you to solve another problem. BACK NEXT

  19. Now it's your turn (10) What is M23 (minor row 2, column 3 ) in the Matrix C? C= Select one of the following three options: C) A) B) BACK NEXT

  20. Applying the Concept to Solving a Numerical Problem Step 2: Writing the Summation Equation Click here for the Example video Part 2 BACK NEXT

  21. Now it's your turn (11) What is the 3rd term of summation of the determinant of W? = (-1)1+1*(2)* + (-1)1+2*(-4)* + ? IWI = Select one of the following three options: A) B) (-1)1+3 *(1)* (-1)1+3 *(1)* C) (-1)2+3 *(1)* BACK NEXT

  22. Applying the Concept to Solving a Numerical Problem Step 3: Final solution Click here for the Example video Part 3 BACK NEXT

  23. Now it’s your turn (12) Compute the determinant of the Matrix Z? z= Select one of the following three options: C) -90 A) -70 B) 85 BACK

  24. Now it’s your turn (12) Compute the determinant of the Matrix Z? z= Select one of the following three options: The answer is incorrect! Check your calculations! C) -90 A) -70 B) 85 BACK

  25. (12) Compute the determinant of the Matrix Z? Congratulations! You understood the concept of calculating a determinant of a 3x3 matrix! z= Select one of the following three options: C) -90 A) -70 B) 85

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