Matrices & Determinants Quiz

Which of the following is a square matrix?

• 1 2 3 4

• 1 2 3

• 1 2 3

The transpose of a column matrix is a:

• Scalar

• Diagonal matrix

• Row matrix

• Square matrix

If A= 2 4 3 1, then det(A) =

• 10

• -10

• 2

• 1

A matrix with only one row is called:

• Square Matrix

• Column Matrix

• Null Matrix

• Row Matrix

What is the order of the matrix A= 3 -1 0 4 5 2?

• 2×3

• 3×2

• 3×3

• 2×2

The determinant of a triangular matrix is:

• Always zero

• Product of diagonal elements

• Sum of diagonal elements

• Not defined

If A is an identity matrix, then A×B=

• B

• A

• 0

• B^{-1}

Which of the following matrices is symmetric?

• 1 2 2 3

• 1 0 -1 3

• 0 1 1 0

• All of the above

The determinant of a 1×1 matrix [a] is:

• 1

• a

• 0

• Not defined

Which of the following is true about scalar multiplication of matrices?

• Only valid for square matrices

• Affects only diagonal elements

• Each element is multiplied by the scalar

• None of the above