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

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