Matrix Equation Solving with Desmos

This lesson demonstrates how to use the Desmos matrix calculator to solve a system of three equations with three unknowns by forming and solving a matrix equation. The process involves rewriting the equations to clearly identify coefficients, forming a matrix equation, and using the inverse matrix to find the solution. The video also covers entering matrices into the Desmos calculator and verifying the solution by substituting back into the original equations.

What tool is introduced for solving a system of equations in this lesson?

• Spreadsheet software

• Scientific calculator

• Graphing calculator

• Desmos matrix calculator

How is the first equation rewritten to make the coefficients more obvious?

• 3x + y - z = 0

• x + y + z = 0

• 3x - y - z = 0

• 3x + y + z = 0

What is the coefficient of z in the second equation after rewriting?

• 1

• 0

• -1

• 2

What is the form of the matrix equation?

• A + X = B

• AX = B

• AX + B = 0

• A - X = B

What is the identity matrix denoted by?

• I

• B

• X

• A

What operation is performed to solve for the variable matrix X?

• Addition

• Subtraction

• Matrix multiplication

• Division

What is the first step in using the Desmos matrix calculator?

• Enter matrix B

• Clear all previous entries

• Calculate the determinant

• Enter the solution

What is the solution for x in decimal form?

• 1.3

• 3.7

• 0.2

• 2.1

How can you convert decimal values to fraction form in Desmos?

• Manually convert

• Click the convert to fraction button

• Click the fraction button

• Use a calculator

What is the ordered triple solution for the system of equations?

• (1.3, 3.7, 0.2)

• (1.3, 0.2, 3.7)

• (3.7, 1.3, 0.2)

• (0.2, 1.3, 3.7)