Mastering Matrices and Their Properties

What is the order of the matrix [[1, 2, 3], [4, 5, 6]]?

• 1 x 3

• 3 x 2

• 2 x 2

• 2 x 3

Classify the matrix [[0, 0], [0, 0]] by its type.

• Symmetric matrix

• Diagonal matrix

• Identity matrix

• Zero matrix

Determine if the matrices [[1, 2], [3, 4]] and [[1, 2], [3, 4]] are equal.

• The matrices cannot be compared.

• No, the matrices are not equal.

• Yes, the matrices are equal.

• The matrices are equal but not identical.

Calculate the product of the matrices [[1, 2], [3, 4]] and [[5], [6]].

• [[17], [39]]

• [[20], [30]]

• [[15], [35]]

• [[10], [24]]

What is the property of a matrix that states A + B = B + A?

• Commutative property of addition

• Associative property of addition

• Identity property of addition

• Distributive property of multiplication

Identify the order of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]].

• 3x3

• 3x2

• 4x2

• 2x4

Classify the matrix [[1, 0], [0, 1]] by its type.

• Diagonal matrix

• Symmetric matrix

• Identity matrix

• Zero matrix

Are the matrices [[2, 3], [4, 5]] and [[4, 5], [2, 3]] equal?

• No

• They are similar

• Yes

• They are both zero matrices

Perform the multiplication of the matrices [[1, 2], [3, 4]] and [[0, 1], [1, 0]].

• [[0, 2], [4, 1]]

• [[2, 1], [4, 3]]

• [[3, 4], [1, 2]]

• [[1, 0], [2, 3]]

What is the determinant of the matrix [[1, 2], [3, 4]]?

• -2

• -1

• 0

• 2