Ti-84 Tutorial, solving 3 by 3 system of equations

TL;DR

Learn how to solve a system of equations using matrices and the matrix function on the TI-84 calculator.

Transcript

hi we are going to see how to solve this system of equations with the matrix function on tit4 first we see that here's the matrix ends in blue so we have to hit second and go to matrix these are the names of the matrices but then we are going to first go to add it first and then we are going to just say let's choose the first one so that we can ent... Read More

Key Insights

• ❓ The TI-84 calculator can be used to solve systems of equations using matrices.
• ❓ Converting a system of equations into a matrix involves aligning coefficients and constants.
• 🤨 The rrref function on the calculator performs the row reduction process to obtain the solution.

Questions & Answers

Q: How do you convert a system of equations into a matrix on the TI-84 calculator?

To convert a system of equations into a matrix on the TI-84 calculator, write down the coefficients and constants, aligning them to form a 3x4 matrix. Each row represents an equation, while the last column contains the constants.

Q: How do you enter the matrix onto the TI-84 calculator?

After accessing the Matrix menu, select "Edit" (usually the first option) and choose the matrix you want to enter the values for. Input the values of the coefficients and constants in their respective locations within the matrix.

Q: What does the rrref function on the TI-84 calculator do?

The rrref function, short for row reduced echelon form, is used to solve systems of equations. It performs the row reduction process on the matrix and produces the matrix where the diagonals are ones and all other elements are zeros.

Q: How can you obtain the solution in fraction form rather than decimals on the calculator?

After obtaining the row reduced echelon form, go to the Math menu and select the first option to change decimals to fractions. This will display the solution to the system of equations with fractions rather than decimals.

Summary & Key Takeaways

• The video tutorial explains how to solve a 3x3 system of equations using matrices on the TI-84 calculator.

• The system of equations is converted into a 3x4 matrix by aligning the coefficients and constants.

• The matrix is entered as Matrix A, and then the calculator performs the row reduction process (rrref) to obtain the solution.