Matrix Multiplication on TI83/84 Calculator

This video tutorial demonstrates how to multiply matrices using the TI-83/84 graphing calculator. It covers entering matrices into the calculator, performing multiplication, and understanding the properties of matrix multiplication, such as dimension mismatch and non-commutativity. The tutorial also compares the results of different matrix products and provides tips for converting decimals to fractions. The video concludes with recommendations for using the calculator to verify manual calculations.

What is the main focus of this video tutorial?

• Solving linear equations

• Multiplying matrices using a calculator

• Graphing functions

• Calculating determinants

Which key combination is used to access the matrix features on the TI83/84 calculator?

• 2nd + X

• 2nd + X^-1

• 2nd + Y

• 2nd + Z

What are the dimensions of Matrix A?

• 1 by 2

• 2 by 2

• 3 by 2

• 2 by 1

Why is the product B x A undefined?

• Matrix A is not square

• The number of columns in B does not match the number of rows in A

• Matrix B has more rows than Matrix A

• Matrix B has more columns than Matrix A

What is the dimension of Matrix B?

• 2 by 2

• 1 by 2

• 2 by 1

• 3 by 2

What should you do if you encounter long decimals in your matrix product?

• Round them to the nearest whole number

• Convert them to fractions

• Ignore them

• Re-enter the matrices

What are the dimensions of Matrix C?

• 3 by 3

• 3 by 2

• 2 by 3

• 2 by 2

What is the result of multiplying Matrix C and D?

• A 3 by 2 matrix

• A 2 by 3 matrix

• A 2 by 2 matrix

• A 3 by 3 matrix

What property of matrix multiplication is illustrated by comparing C x D and D x C?

• Distributive property

• Commutative property

• Associative property

• Identity property

What is the dimension of the product D x C?

• 2 by 2

• 3 by 3

• 2 by 3

• 3 by 2