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 8271.

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

Q2:

Determine which of the following matrices is a column matrix.

  • A2235
  • B223
  • C2005
  • D0000
  • E[223]

Q3:

If the matrix 𝐴=[550], which the following is true?

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

Q4:

If the matrix 𝐴=100680653, which of the following is true?

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

Q5:

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

  • A100570956
  • B159075006
  • C059075016
  • D159005106
  • E109505906

Q6:

If the matrix 𝐴=100080003, which of the following is true?

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

Q7:

Determine the type of the matrix 57000720000.

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

Q8:

If the matrix 𝐴=1001, which of the following is true?

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

Q9:

If the order of a zero matrix 𝑂 is 2×2, then the number of elements of the matrix =.

  • A4
  • B𝜙
  • 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 𝐴 is a diagonal matrix of order 3×3 and 𝑎=6 for each 𝑖=𝑗, then .

  • A𝐴=6𝑂
  • B𝐴=6𝐼
  • C𝐴=𝐼
  • D𝐴=𝑂

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