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<b>a. Row Matrix :</b> Matrix of order 1...

a. Row Matrix : Matrix of order `1 xx m` is called row matrix `[ 12" "13" "45 ]` is an example of order `1 xx 5`
b. Column Matrix : Matrix having exactly one column is called a column matrix order : `n xx 1`
`[[a], [b], [c]]` is an example of column matrix.
c. Horizontal Matrix : If number of rows is less than no. of columns, then it is called horizontal matrix. If matrix `A` has order `m xx n`, then `m lt n` eg : `[[1, 2, 3, 5], [-3, 2, 7, 5]]` is horizontal matrix.
d. Vertical Matrix : If `m gt n`, then it is called vertical matrix.
ex : - `[[1, 2], [1, 2], [2, 3]]`
e. Zero or Null matrix : If all the elements of a matrix are zero then it is called null matrix. A null matrix is denoted by `0`.
`0 to` Number `0`
`0 to` Null matrix

A

idempotent matrix

B

involutory matrix

C

nilpotent matrix

D

None of these

Text Solution

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The correct Answer is:
C
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MOTION-MATRICES -Exercise - 1
  1. If A and B are two square matrices of same order satisfying AB=A and ...

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  2. If A=diag(2,-1,3), B=diag(-1,3,2)then A^(2)B

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  3. <b>a. Row Matrix :</b> Matrix of order 1 xx m is called <b>row matrix<...

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  4. If the matrix AB is a zero matrix, then which one of the following is ...

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  5. Which relation is true for A =[(2,-1),(-1,2)] and B=[(1,4),(-1,1)] (1)...

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  6. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

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  7. If A and B are square matrices of order n xx n such that A^2-B^2=(A-B)...

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  8. If A=[(ab,b^2),(-a^2,-ab)], then A is

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  9. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

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  10. If a non-singular matrix and A^(T) denotes the tranpose of A, then

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  11. If A is skew-symmetric matrix, then trace of A is

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  12. If A and B are symmetric matrices, then A B A is

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  13. If A is a skew-symmetric matrix and n is an even natural number,...

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  14. Which one of the following is wrong ?

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  15. [{:(,1,2),(,2,1):}],[{:(,1,2),(,2,1):}]

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  16. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

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  17. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

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  18. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then :

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  19. If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]] and X is a matrix such that ...

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  20. Given A=[(1,3),(2,2)],I=[(1,0),(0,1)]. If A-lambdaI is a singular mat...

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