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Lesson Worksheet: Types of Matrices Mathematics

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.

  • ASquare matrix
  • BUnit matrix
  • CRow matrix
  • DColumn matrix

Q2:

Determine the type of the matrix 4128.

  • AColumn matrix
  • BSquare matrix
  • CRow matrix
  • DIdentity matrix

Q3:

If the matrix 𝐴=[550], which of 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=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.

Q5:

Determine the type of the matrix 000000000.

  • ARow matrix
  • BColumn matrix
  • CZero matrix
  • DIdentity matrix

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:

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

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

Q8:

Determine the type of the matrix 57000720000.

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

Q9:

If matrix 𝐴 has an order of 𝑛×𝑛 such that 𝑎=2 for 𝑖=𝑗 and 𝑎=0 for 𝑖𝑗, which of the following is its type?

  • AIdentity matrix
  • BLower triangular matrix
  • CRow matrix
  • DDiagonal matrix
  • EUpper triangular matrix

Q10:

Which of the following matrices must be a square matrix?

  1. Identity matrix
  2. Diagonal matrix
  3. Upper triangular matrix
  4. Row matrix
  5. Zero matrix
  • AOnly D and E
  • BA, B, and C
  • CA, D, and E
  • DOnly A and B
  • EAll the choices must be square matrices.

This lesson includes 31 additional questions and 122 additional question variations for subscribers.

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