Matrix Concepts and Operations

What is a matrix?

• A matrix is a rectangular array of numbers or symbols arranged in rows and columns.

• A matrix is a single number.

• A matrix is a type of graph.

• A matrix is a collection of random letters.

Which of the following is a valid matrix?

• [[1, 2, 3], [4, 5]]

• [1, 2, 3, 4]

• [[1, 2], [3, 'four']]

• [[1, 2], [3, 4]]

What is the order of a matrix with 3 rows and 4 columns?

• 2 x 4

• 3 x 5

• 3 x 4

• 4 x 3

How do you denote a matrix?

• A phrase (e.g., 'this is a matrix') describing its function.

• A capital letter (e.g., A) representing a rectangular array of elements.

• A symbol (e.g., #) indicating a vector.

• A lowercase letter (e.g., a) representing a single number.

What is the sum of two matrices?

• The sum of two matrices is obtained by multiplying their corresponding elements.

• The sum of two matrices is the difference of their elements.

• The sum of two matrices is obtained by adding their corresponding elements.

• The sum of two matrices is the product of their elements.

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

• [[5, 6], [7, 8]]

• [[6, 8], [10, 12]]

• [[8, 10], [12, 14]]

• [[1, 2, 3, 4]]

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

• The sum of matrices A and B.

• The product of matrices A and B.

• The transpose of matrix A.

• Resulting matrix after subtraction.

Which operation is not defined for matrices?

• Division of matrices

• Multiplication of matrices

• Subtraction of matrices

• Addition of matrices

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

• 2 x 3

• 2 x 2

• 3 x 2

• 1 x 3

If C = [[1, 0], [0, 1]], what type of matrix is C?

• Diagonal matrix

• Symmetric matrix

• Identity matrix

• Zero matrix