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The matrix [{:(1,0,0),(0,2,0),(0,0,4):}]...

The matrix `[{:(1,0,0),(0,2,0),(0,0,4):}]` is a

A

identity matrix

B

symmetric matrix

C

skew symmetric matrix

D

none of these .

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a

    A
    square matrix
    B
    diagonal matrix
    C
    unit matrix
    D
    None

  • If x, y, z are non-zero real numbers, then the inverse of matrix A = [{:(x,0,0),(0,y,0),(0,0,z):}] is

    A
    `[{:(x^(-1) , 0 , 0),(0, y^(-1) , 0),(0,0,z^(-1)):}]`
    B
    `xyz [ {:(x^(-1) , 0 ,0),(0,y^(-1) , 0),(0, 0 ,z^(-1) ):}]`
    C
    `(1)/( xyz) [ {:(x, 0 , 0 ),(0, y , 0),(0, 0, z):} ]`
    D
    `(1)/( xyz) [{:(1, 0, 0),(0,1,0),(0,0,1):} ]`

  • If x, y, z are non-zero real numbers, then the inverse of matrix A = [{:(x,0,0),(0,y,0),(0,0,z):}] is

    A
    `[{:(x^(-1) , 0 , 0),(0, y^(-1) , 0),(0,0,z^(-1)):}]`
    B
    `xyz [ {:(x^(-1) , 0 ,0),(0,y^(-1) , 0),(0, 0 ,z^(-1) ):}]`
    C
    `(1)/( xyz) [ {:(x, 0 , 0 ),(0, y , 0),(0, 0, z):} ]`
    D
    `(1)/( xyz) [{:(1, 0, 0),(0,1,0),(0,0,1):} ]`

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