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Matrices and determinants

Class 9 · Mathematics · 6 questions

Name: ____________________   Date: ____________

  1. A matrix with 3 rows and 2 columns has order:

    • A 3 x 3
    • B 3 x 2
    • C 6
    • D 2 x 3

  2. What is the determinant of the matrix [[2, 3], [1, 4]]?

    • A 8
    • B 11
    • C -5
    • D 5

  3. If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], what is A + B?

    • A [[1, 2], [3, 4]]
    • B [[1, 3], [4, 4]]
    • C [[1, 3], [4, 5]]
    • D [[0, 2], [3, 0]]

  4. A matrix whose determinant is zero is called:

    • A Identity
    • B Singular
    • C Non-singular
    • D Diagonal

  5. What is the transpose of [[1, 2, 3]]?

    • A [[3, 2, 1]]
    • B [[1], [2], [3]]
    • C [[1, 2, 3]]
    • D [[0]]

  6. What is 3 times the matrix [[1, 2], [0, 1]]?

    • A [[3, 2], [0, 1]]
    • B [[4, 5], [3, 4]]
    • C [[1, 6], [0, 3]]
    • D [[3, 6], [0, 3]]

Answer key

1. B, 2. D, 3. B, 4. B, 5. B, 6. D

  1. Order is written as rows x columns, so it is 3 x 2.

  2. det = 2 x 4 - 3 x 1 = 8 - 3 = 5.

  3. Add corresponding entries: [[1+0, 2+1], [3+1, 4+0]] = [[1, 3], [4, 4]].

  4. A matrix with determinant 0 is singular and has no inverse.

  5. The transpose swaps rows and columns, so a row matrix becomes a column matrix.

  6. Multiply each entry by 3.