Monday, January 29, 2024

Solve Applications of Systems, Solve 3x3 Systems Algebraically

 Comic of the Day

"The formulation of a problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill" - Albert Einstein


Announcements
Week 1-2 Quiz (3 attempts) due on Mon Feb 12
Week 3-5 Quiz (3 attempts) due on Mon Feb 12
Next unit exam (Algebraic Functions and Systems) on Mon Feb 12

Seminars
Seminar 5 (Jan 31 or Feb 1) - Train Function Junction (systems of equations)
Pre-lab consists of two questions in Mobius on solving a system of equations for a line between two points, and using function notation to interpret the location of a train as a function of time.

Today - Solve Applications of Systems, Solve 3x3 Systems Algebraically
Instead of finding the intersection of 2 lines, a 3x3 system looks for the intersection of 3 planes:
https://www.geogebra.org/m/uVwfjJjE
Notes from Moodle
Read Algebra and Trig 11.2

For More Information
Systems of Equations Word Problems (great practice exercises and videos)
Solving 3x3 systems of equations elimination
http://patrickjmt.com/solving-a-system-of-equations-involving-3-variables-using-elimination-by-addition-example-1/
http://patrickjmt.com/solving-a-system-of-equations-involving-3-variables-using-elimination-by-addition-example-2/
http://patrickjmt.com/solving-a-system-of-equations-involving-3-variables-using-elimination-by-addition-example-3/
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/systems-of-three-variables
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/systems-of-three-variables-2
Practice solving 3x3 systems
https://www.geogebra.org/m/j7zRFgks


Next Lecture - Solve 2x2 and 3x3 Systems with Determinants
Pre-read Algebra and Trig 11.8
Watch this 2:38 primer video on determinant of a 3x3 matrix

https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/v/finding-the-determinant-of-a-3x3-matrix-method-1 

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