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If A is a singular amtrix, then adj A is...

If A is a singular amtrix, then adj A is

A

singular

B

non-singular

C

symmetric

D

not defined

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
  1. If {:A=[(1,x),(x^7,4y)],B=[(-3,1),(1,0)]and adjA+B=[(1,0),(0,1)]:}, th...

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  2. If A is a square matrix of order n xx n and k is a scalar, then adj (k...

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  3. If A is a singular amtrix, then adj A is

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  4. If A is a non singular square matrix; then adj(adjA) = |A|^(n-2) A

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  5. If A is a singular amtrix, then adj A is

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  6. If A=[(cosx,sinx),(-sinx,cosx)] and A.(adjA)=k[(1,0),(0,1)] then the v...

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  7. If A=[[1,1],[1,1]] ,prove that A^n=[[2^(n-1),2^(n-1)],[2^(n-1),2^(n-1)...

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  8. If A=[{:(a,b),(b,a):}] and A^(2)=[{:(alpha, beta),(beta, alpha):}] the...

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  9. If A is an invertible square matrix; then adj A^T = (adjA)^T

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  10. If A=[[1,3] , [3,4]] and A^2-kA-5I2=0 then k=

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  11. If A=[a(ij)] is a scalar matrix, then trace of A is

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  12. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

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  13. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

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  14. If A=[a(ij)] is a scalar matrix of order nxxn and k is a scalar, then ...

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  15. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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  16. If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0...

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  17. Find the matrix A satisfying the matrix equation [{:(2,1),(3,2):}]A[...

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  18. If [(1,-tantheta),(tantheta,1)][(1,tantheta),(-tantheta,1)]^(-1)=[(a,-...

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  19. If A and B are two matrices such that A+B and AB are both defind, then

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  20. If a matrix A is such that 3\ A^3+2\ A^2+5\ A+I=0 , then A^(-1) is equ...

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