Inverse Matrices with Desmos Matrix Calculator

This lesson demonstrates how to determine inverse matrices using the Desmos Matrix Calculator. It covers entering matrices, finding their inverses, and verifying results by multiplying with the original matrices to obtain identity matrices. The tutorial includes steps for both 2x2 and 3x3 matrices, with options to convert results from decimal to fraction form for accuracy.

What tool is used in this lesson to determine inverse matrices?

• Python Programming

• Google Sheets

• Microsoft Excel

• Desmos Matrix Calculator

What is the default size of matrix A when first created in the calculator?

• 2x2

• 1x1

• 3x3

• 4x4

How can you change the dimensions of a matrix in the Desmos Matrix Calculator?

• By entering a new size in the settings

• By clicking on the matrix and dragging

• By using keyboard shortcuts

• By using the tools below to add or subtract rows or columns

What should be the result when you multiply a matrix by its inverse?

• A zero matrix

• The original matrix

• A matrix of ones

• The identity matrix

What is the default label for the second matrix created in the calculator?

• Matrix D

• Matrix A

• Matrix C

• Matrix B

How do you change positions in the matrix using a computer keyboard?

• By pressing the Spacebar

• By pressing the Enter key

• By pressing the Tab key

• By pressing the arrow keys

What is the size of matrix B after adding one row and one column?

• 5x5

• 4x4

• 3x3

• 2x2

What form are the inverse matrices initially displayed in?

• Scientific notation

• Fraction form

• Decimal form

• Percentage form

What should you do to convert the inverse matrix from decimal to fraction form?

• Change the settings

• Use a calculator

• Re-enter the matrix values

• Click the 'Convert to Fraction' button

What is verified by multiplying matrix B with its inverse?

• The identity matrix

• A zero matrix

• The original matrix

• A matrix of ones