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Which of the following is correct (A)   ...

Which of the following is correct
(A)   Determinant is a square matrix.
(B)   Determinant is a number associated to a matrix.
(C)   Determinant is a number associated to a square matrix.
(D)   None of these

A

Determinant is a square matrix.

B

Determinant is a number associated to a matrix.

C

Determinant is a number associated to a square matrix.

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Determinant is defined only for a square matrix. and its denotes the value of that square matrix.
As we know that To every square matrix A of order n, we can associate a number called determinant of the square matrix A
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Knowledge Check

  • Consider the following statements : 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct ?

    A
    1 only
    B
    2 only
    C
    Both 1 and 2
    D
    Neither 1 nor 2

  • Consider the following statements I. Determinant is a square matrix. II. Determinant is a number associated with a square matrix. Which of the above statement(s) is/are correct ?

    A
    Only I
    B
    Only II
    C
    Both I and II
    D
    Neither I nor II

  • The determinant of a orthogonal matrix is

    A
    `+-1`
    B
    2
    C
    0
    D
    `+-2`

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