Adding and Subtracting Matrices Explained

What is a matrix?

• A type of equation

• An array of numbers

• A single number

• A geometric shape

Which property states that the order of addition does not matter?

• Distributive Property

• Commutative Property

• Associative Property

• Inverse Property

What is the result of adding a zero matrix to another matrix?

• A matrix with all elements halved

• The original matrix

• A matrix with all elements doubled

• A zero matrix

What is the first step in adding two matrices?

• Add corresponding elements

• Check the dimensions

• Multiply the matrices

• Transpose the matrices

What is the resultant matrix when adding the following 2x2 matrices: A = [[1, 2], [4, 5]] and B = [[-1, -2], [-4, -5]]?

• [[-1, -2], [-4, -5]]

• [[2, 4], [8, 10]]

• [[1, 2], [4, 5]]

• [[0, 0], [0, 0]]

What is the sum of the elements in row 1, column 1 of matrices A = [[1, 0, 4], [-2, 5, 7], [3, 2, -1]] and B = [[1, -4, -3], [0, -5, 6], [2, 4, -1]]?

• 3

• 0

• 1

• 2

What is the resultant matrix when adding the following 3x3 matrices: A = [[1, 0, 4], [-2, 5, 7], [3, 2, -1]] and B = [[1, -4, -3], [0, -5, 6], [2, 4, -1]]?

• [[2, -4, 1], [-2, 0, 13], [5, 6, -2]]

• [[1, 0, 4], [-2, 5, 7], [3, 2, -1]]

• [[1, -4, -3], [0, -5, 6], [2, 4, -1]]

• [[0, 0, 0], [0, 0, 0], [0, 0, 0]]

What is the result of subtracting the following 3x3 matrices: A = [[1, 0, 4], [-2, 5, 7], [3, 2, -1]] and B = [[1, -4, -3], [0, -5, 6], [2, 4, -1]]?

• [[0, 4, 7], [-2, 10, 1], [1, -2, 0]]

• [[1, -4, -3], [0, -5, 6], [2, 4, -1]]

• [[2, -4, 1], [-2, 0, 13], [5, 6, -2]]

• [[1, 0, 4], [-2, 5, 7], [3, 2, -1]]

Why is it not possible to subtract matrix B from matrix A if A is a 1x3 matrix and B is a 3x1 matrix?

• Because the matrices contain negative numbers

• Because the matrices are not the same dimensions

• Because the elements are not integers

• Because the matrices are not square

What is the resultant matrix when subtracting the following 3x3 matrices: A = [[1, 0, 4], [-2, 5, 7], [3, 2, -1]] and B = [[1, -4, -3], [0, -5, 6], [2, 4, -1]]?

• [[1, 0, 4], [-2, 5, 7], [3, 2, -1]]

• [[0, 4, 7], [-2, 10, 1], [1, -2, 0]]

• [[1, -4, -3], [0, -5, 6], [2, 4, -1]]

• [[2, -4, 1], [-2, 0, 13], [5, 6, -2]]