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Matrices and determinants

Class 11 · Mathematics · 5 questions

Name: ____________________   Date: ____________

  1. If A is 2 x 3 and B is 3 x 4, the order of AB is:

    • A AB is not defined
    • B 4 x 2
    • C 3 x 3
    • D 2 x 4
  2. The determinant of [[1, 2], [3, 4]] is:

    • A -10
    • B 2
    • C 10
    • D -2
  3. The inverse of a matrix A exists only if:

    • A det A is zero
    • B A is a row matrix
    • C det A is not zero
    • D A is 3 x 2
  4. If A is a 3 x 3 matrix and det A = 2, then det(2A) is:

    • A 8
    • B 6
    • C 4
    • D 16
  5. The transpose of the transpose of A is:

    • A A
    • B Zero
    • C Identity
    • D The inverse of A

Answer key

1. D, 2. D, 3. C, 4. D, 5. A

  1. The product has the rows of A and the columns of B.

  2. 1 x 4 - 2 x 3 = -2.

  3. A is non singular when its determinant is not zero.

  4. det(kA) = k^3 det A = 8 x 2 = 16.

  5. (A^T)^T = A.