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Statement I : Rank of a matrix is defin...

Statement I : Rank of a matrix is defined for only square matrices
Statement II : Trace of a matrix is defined for square matrices only
Which of the above Statement(s) is true ?

A

only I is true

B

only II is true

C

Both I, II are true

D

neither I nor II are true

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Statement I : Trace of matrix is defined for square matrices only. Statement II : Matrix addition is possible for only square matrices.

    A
    Only I is true
    B
    Only II is true
    C
    Both I, II are true
    D
    neither I nor II is true

  • If M and N are square matrices order 3, then which one of the following statements is not true?

    A
    For all symmetric matrices M and N, MN-NM is skew symmetric
    B
    MN MN is symmetric or skew symmetric according as M is symmetric or skew symmetric
    C
    For all symmetric matrices M and N, matrix MN is symmertic
    D
    For any two matrices M and N, adj (MN) and adj (NM) need not be equal

  • In the given circuit which of the following statement(s) is/are true ?

    A
    with `S_1` closed ,` V_1 =15V,V_2 = 20 V`
    B
    with `S_3 `closed, `V_1 = 25V, V_2 = 25 V`
    C
    with `S_1 & S_2` closed, `V_1 =0V,V_2 = 0 V`
    D
    with `S_1 & S_3 ` closed, `V_1 = 30 V, V_2 = 20 V`

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