# Worksheet: Types of Matrices

In this worksheet, we will practice identifying special types of matrices like square, row, column, identity, zero, diagonal, lower triangular, and upper triangular matrices.

Q1:

Determine the type of the matrix .

• Aunit matrix
• Bcolumn matrix
• Crow matrix
• Dsquare matrix

Q2:

Determine which of the following matrices is a column matrix.

• A
• B
• C
• D
• E

Q3:

If the matrix , which the following is true?

• AThe matrix is a unit matrix.
• BThe matrix is a diagonal matrix.
• CThe matrix is a square matrix.
• DThe matrix is a column matrix.
• EThe matrix is a row matrix.

Q4:

If the matrix which of the following is true?

• AThe matrix is an identity matrix.
• BThe matrix is a lower triangle matrix.
• CThe matrix is an upper triangle matrix.
• DThe matrix is a diagonal matrix.
• EThe matrix is zero matrix.

Q5:

Determine which of the following matrices is a lower triangular matrix.

• A
• B
• C
• D
• E

Q6:

If the matrix which of the following is true?

• AThe matrix is a column matrix.
• BThe matrix is a diagonal matrix.
• CThe matrix is a zero matrix.
• DThe matrix is a row matrix.
• EThe matrix is an identity matrix.

Q7:

Determine the type of the matrix

• ARow matrix
• BIdentity matrix
• CDiagonal matrix
• DColumn matrix

Q8:

If the matrix which of the following is true?

• AThe matrix is a column matrix.
• BThe matrix is a row matrix.
• CThe matrix is an identity matrix.
• DThe matrix is a zero matrix.

Q9:

If the order of a zero matrix is , then the number of elements of the matrix .

• A4
• B
• C0
• D9

Q10:

True or False: A diagonal matrix does not have to be a square matrix.

• AFalse
• BTrue

Q11:

True or False: A zero matrix is a diagonal matrix whose diagonal elements are all zeros.

• ATrue
• BFalse

Q12:

If is a diagonal matrix of order and for each , then .

• A
• B
• C
• D