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Find the number of idempotent diagonal m...

Find the number of idempotent diagonal matrices of order n.

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The correct Answer is:
`2^(n) `
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Knowledge Check

  • Find the number of diagonals in a decagon.

    A
    25
    B
    35
    C
    45
    D
    `""^(n)C_2 -n`

  • Statement 1: The product of two diagonal matrices of order 3 is also a diagonal matrix. Statement -2 : In general, matrix multiplication is non-commutative.

    A
    Statement 1: is true , statement -2 is true and statement -2 is correct explanation for statement -1 .
    B
    Statement 1: is true, statement-2 is true and statement -2 is NOT the correct explanation for statement -1.
    C
    Statement 1: is true, statement -2is false.
    D
    Statement -1 is false, statement -2 is true.

  • Find the number of diagonals formed in hexagon.

    A
    12
    B
    10
    C
    6
    D
    9

    • Similar Questions

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    Find the number of all possible matrices of order 3xx3 with each entry 0 or 1. How many of these are symmetric ?

    Let x be the number of diagonal matrices A of rela etries and order 3 xx 3, such that A ^(7) + 3 A ^(5) + 7 A = 11 I and y be the number of diagonal matrices B of complex entries with at least ne non zero real entry and order 3 xx 3, such that B ^(5) = I, then y - 55 x = (Where I is an identity matrix of order 3 xx 3 )

    Find the number of diagonals by joining the vertices of a polygon of n sides.

    Find the number of diagonals of a 10-sided polygon.

    Find the number of diagonals in an n-sided polygon.

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