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Matrix Representation, Order and Types (Year 11)

Free printable Year 11 General Mathematics worksheet on matrix representation: order (size), reading elements, and naming row, column, square, zero and identity matrices (ACMGM013-014). Computed answer key.

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Year 11 · Math worksheet
Name
Date
Math

Matrices: Representation, Order and Types

State the order (rows x columns), read the requested element, count the elements, or name the type of each matrix.

  1. 1.
    State the order (size) of the matrix M = [9 3; 5 9].
  2. 2.
    State the order (size) of the matrix M = [6 1; 6 4].
  3. 3.
    State the order (size) of the matrix M = [4 2 5; 4 6 7; 7 8 8].
  4. 4.
    For the matrix A = [4 3 2; 5 4 9; 9 4 8], write down the element a(2,1), the entry in row 2, column 1.
  5. 5.
    For the matrix A = [4 2 1; 2 4 7; 7 3 4], write down the element a(3,2), the entry in row 3, column 2.
  6. 6.
    For the matrix A = [5 9; 2 7; 3 7], write down the element a(2,2), the entry in row 2, column 2.
  7. 7.
    How many elements does a 2 x 3 matrix have?
  8. 8.
    How many elements does a 2 x 4 matrix have?
  9. 9.
    What type of matrix is [7 1 4]? (row, column, square, zero, or identity)
  10. 10.
    What type of matrix is [4; 7; 7]? (row, column, square, zero, or identity)
  11. 11.
    What type of matrix is [5 3; 6 1]? (row, column, square, zero, or identity)
  12. 12.
    What type of matrix is [0 0; 0 0]? (row, column, square, zero, or identity)
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