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.

  • A 2 2 3 5
  • B 2 2 3
  • C 2 0 0 5
  • D 0 0 0 0
  • E [ 2 2 3 ]

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 an upper triangle matrix.
  • CThe matrix 𝐴 is a lower 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.

  • A 1 0 0 5 7 0 9 5 6
  • B 1 5 9 0 7 5 0 0 6
  • C 0 5 9 0 7 5 0 1 6
  • D 1 5 9 0 0 5 1 0 6
  • E 1 0 9 5 0 5 9 0 6

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.

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