Cramers Rule Applying Determinants to solve Systems of

Cramer’s Rule for 2 x 2 Part 1 1. Extract Coefficients 2. Calculate Determinant

Cramer’s Rule for 2 x 2 Part 2 (Solving for x) 3. Replace the

Cramer’s Rule for 2 x 2 Part 3 (Solving for y) 5. Replace the

Cramer’s Rule for 2 x 2 Part 4 7. To check x and y,

Cramer’s Rule for 3 x 3 Part 1 1. Extract coefficients. 2. Calculate Original

Cramer’s Rule for 3 x 3 Part 2 (Solving for x) 3. Replace the

Cramer’s Rule for 3 x 3 Part 3 (Solving for y) 5. Replace the

Cramer’s Rule for 3 x 3 Part 4 (Solving for z) 7. Replace the

Cramer’s Rule for 3 x 3 Part 5 9. To check x and y,

Slides: 13

Download presentation

Cramer’s Rule Applying Determinants to solve Systems of Equations 2 x 2 & 3 x 3

2 x 2 Determinants Det A = ad – cb

Cramer’s Rule for 2 x 2 Part 1 1. Extract Coefficients 2. Calculate Determinant of Original Matrix

Cramer’s Rule for 2 x 2 Part 2 (Solving for x) 3. Replace the 1 st column of the coefficient matrix with the constant matrix. 4. Calculate the determinant of new matrix & divide by original determinant.

Cramer’s Rule for 2 x 2 Part 3 (Solving for y) 5. Replace the 2 nd column of the coefficient matrix with the constant matrix. 6. Calculate the determinant of new matrix & divide by original determinant.

Cramer’s Rule for 2 x 2 Part 4 7. To check x and y, substitute 51 in for x and 30 in for y.

Ex #4 Solve

3 x 3 Determinants

Cramer’s Rule for 3 x 3 Part 1 1. Extract coefficients. 2. Calculate Original Determinant (OD) of Matrix

Cramer’s Rule for 3 x 3 Part 2 (Solving for x) 3. Replace the 1 st column of the coefficient matrix with the constant matrix. 4. Calculate the determinant of new matrix & divide by original determinant (15).

Cramer’s Rule for 3 x 3 Part 3 (Solving for y) 5. Replace the 2 nd column of the coefficient matrix with the constant matrix. 6. Calculate the determinant of new divide by original determinant matrix & (15).

Cramer’s Rule for 3 x 3 Part 4 (Solving for z) 7. Replace the 3 rd column of the coefficient matrix with the constant matrix. 8. Calculate the determinant of new & divide by original determinant matrix (15).

Cramer’s Rule for 3 x 3 Part 5 9. To check x and y, substitute 2. 6 in for x, 2. 2 in for y, and 0. 2 in for z.