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7.6B Solving Systems with Inverse Matrices

7.6B Solving Systems with Inverse Matrices. 1. Write Matrix Equation AX=B 2. X= Calculator: By hand: Find inverse of A Any size: Gauss-Jordan 2X2: Formula Multiply inverse of A and B 3. Check solution. Example: Solve with the FORMULA. 1. Matrix Equation:.

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7.6B Solving Systems with Inverse Matrices

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  1. 7.6B Solving Systems with Inverse Matrices • 1. Write Matrix Equation AX=B • 2. X= • Calculator: • By hand: • Find inverse of A • Any size: Gauss-Jordan • 2X2: Formula • Multiply inverse of A and B • 3. Check solution

  2. Example: Solve with the FORMULA • 1. • Matrix Equation:

  3. Solve with Calculator & Gauss-Jordan: & X= • 2. • Augmented Matrix:

  4. Solve with Calculator & X= 3. Matrix Equation:

  5. Example: Data Analysis • 4. t=0 is 2000. y = snowboarders t y 2002 5343 2003 5589 2004 6309 • A) Data is parabolic: Write a system of linear equations. • B) Solve the system and write the equation. Find the regression equation for the parabola. • C) Graph the parabola with data in calculator. • D) Estimate the # of snowboarders in 2005,2010 & 2015. • E) Are these estimates reasonable?

  6. Assignment(some have been started in 7.6A assignment!!!) • 7.6B p. 547 # • 41: Formula by hand then by hand • 42: Gauss-Jordan by hand then Calc. • 43: Formula by hand then with calc. • 46: Gauss-Jordan with calc. then with calc. • 48: with calc. • 52 & 56: Gauss-Jordan with calc. then ith calc. • 60, 66,70,72,76,78: with calc. • 79 & 80: T/F Explain why!!!!

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