Matrix Multiplication with Desmos

This video tutorial demonstrates how to perform matrix multiplication using the Desmos matrix calculator. It covers identifying matrix dimensions, checking compatibility for multiplication, and provides examples of multiplying matrices with different dimensions. The tutorial also guides users on entering matrices into the Desmos calculator and verifying results, emphasizing that matrix multiplication is not commutative.

What is the dimension of Matrix A?

• 3 by 2

• 2 by 3

• 3 by 1

• 2 by 2

Which condition must be met for two matrices to be multiplied?

• The number of rows in the first matrix must equal the number of columns in the second matrix.

• The first matrix must have more rows than the second matrix.

• The number of columns in the first matrix must equal the number of rows in the second matrix.

• Both matrices must have the same dimensions.

What is the result of multiplying a 2 by 3 matrix with a 3 by 1 matrix?

• 3 by 1 matrix

• 2 by 1 matrix

• 3 by 3 matrix

• 2 by 3 matrix

What is the dimension of the product when multiplying a 3 by 2 matrix with a 2 by 3 matrix?

• 3 by 3

• 2 by 3

• 2 by 2

• 3 by 2

What is the dimension of the product when multiplying Matrix C (2 by 3) with Matrix A (3 by 2)?

• 3 by 3

• 3 by 2

• 2 by 3

• 2 by 2

What should you do if you make a mistake while entering matrix elements in Desmos?

• Press the left arrow to correct the mistake.

• Start over from the beginning.

• Ignore the mistake and continue.

• Delete the matrix and re-enter all elements.

How can you verify the results of matrix multiplication in Desmos?

• By checking if the product matrix is symmetric.

• By ensuring the product matrix has more rows than columns.

• By comparing the result with manual calculations.

• By checking if the product is a square matrix.

What does it mean if Desmos shows an orange triangle when attempting a matrix multiplication?

• The matrices are compatible for multiplication.

• The matrices have incompatible dimensions.

• The matrices are identical.

• The matrices are already multiplied.

What is the result of multiplying Matrix D (3 by 1) with Matrix C (2 by 3)?

• 3 by 1 matrix

• 2 by 1 matrix

• Undefined

• 3 by 3 matrix

Why is matrix multiplication not commutative?

• Because the order of multiplication does not affect the result.

• Because the product of two matrices depends on their order.

• Because matrices are always square.

• Because matrices have the same dimensions.