Exploring Matrix Operations in SMH M.2

What are the main operations covered in this lesson?

• Matrix addition, subtraction, and scalar multiplication

• Matrix division and transposition

• Matrix inversion and determinant calculation

• Matrix exponentiation and eigenvalue computation

What is the dimension of a matrix with 5 rows and 4 columns?

• 1x20

• 20x1

• 5x4

• 4x5

How many elements does a 5x4 matrix have?

• 9

• 20

• 12

• 15

When can two matrices be added or subtracted?

• When they have the same elements

• When they have the same dimensions

• When they have the same number of columns

• When they have the same number of rows

Which property does matrix addition follow?

• Transitive

• Associative

• Distributive

• Commutative

What is the result of subtracting matrix A from matrix B?

• B - A

• B + A

• A - B

• A + B

What does scalar multiplication involve?

• Subtracting a scalar from each element of the matrix

• Dividing each element of the matrix by a scalar

• Multiplying each element of the matrix by a scalar

• Adding a scalar to each element of the matrix

What is the result of multiplying each element of matrix S by 3?

• Each element of S is multiplied by 3

• Each element of S is subtracted by 3

• Each element of S is added to 3

• Each element of S is divided by 3

What should you write if an operation cannot be performed on matrices?

• Cannot be done

• Not possible

• Undefined

• N/A

Which matrices can be added together?

• Matrices with the same number of rows

• Matrices with the same number of columns

• Matrices with the same dimensions

• Matrices with the same elements