Matrix Theory Quiz

If a matrix A has 3 rows and 5 columns, then the order of A is:

• 5×3

• 3×5

• 8×1

• 15×1

What is the total number of elements in a 4×3 matrix?

• 7

• 12

• 16

• 10

If A is a 2×3 matrix and B is a 3×4 matrix, the product AB is:

• 3×3

• 2×3

• 2×4

• Not defined

Which of the following is true for the diagonal elements of an identity matrix?

• All are zero

• All are one

• Alternates between 1 and 0

• Depends on matrix size

The transpose of a 2×3 matrix is of order:

• 2×3

• 3×3

• 3×2

• 1×6

If A = [1 2; 3 4], then A(1,2) refers to:

• 1

• 3

• 2

• 4

A matrix having only one column is called:

• Row matrix

• Null matrix

• Square matrix

• Column matrix

Which of the following matrices has equal number of rows and columns?

• Row matrix

• Column matrix

• Square matrix

• Rectangular matrix

If matrix A is 3×2 and matrix B is 2×3, what is the order of AB?

• 2×2

• 3×2

• 3×3

• 2×3

Which of the following operations is not defined for two matrices of different orders?

• Transpose

• Addition

• Scalar multiplication

• Determinant